AP Physics 1: Algebra-Based FRQ Room
Ace the free response questions on your AP Physics 1: Algebra-Based exam with practice FRQs graded by Kai. Choose your subject below.
Knowt can make mistakes. Consider checking important information.
AP Physics 1: Algebra-Based Free Response Questions
The best way to get better at FRQs is practice. Browse through dozens of practice AP Physics 1: Algebra-Based FRQs to get ready for the big day.
Acceleration and Deceleration in a Race
A sprinter accelerates from rest and then decelerates to a stop during a race. Analyze the different
Acceleration from a Velocity-Time Graph
A velocity vs. time graph for an object is given by the equation $$v(t) = 3*t + 2$$. Use the graph t
Analysis of Angled Motion
A projectile is launched with horizontal and vertical velocity components of $$15$$ m/s and $$20$$ m
Analysis of Falling Object with Air Resistance
A researcher drops two objects of different shapes from a height to study the effect of air resistan
Analysis of Motion on a Curved Path with Direction Changes
A runner completes a course consisting of three segments: 200 m along a curved path moving forward,
Analyzing Acceleration from a Velocity-Time Graph
This question involves calculating and interpreting acceleration from a velocity-time graph. Refer t
Analyzing Uniformly Accelerated Motion Using the BIG FIVE Equations
A motorcyclist accelerates uniformly from rest. The following data were recorded during the accelera
Baseball Projectile Motion
A baseball is hit off a bench, following a projectile trajectory under ideal conditions with no air
Calculating Acceleration with Changing Motion
A particle moves along a straight line with its velocity given by the function $$v(t) = 3 * t - 0.5
Car Crash Analysis: Motion Under Deceleration
During a crash simulation, a car decelerates uniformly from 25 m/s to 0 m/s in 4 seconds. Analyze th
Centripetal Acceleration in Circular Motion
An object moves in uniform circular motion at a constant speed of $$10 \; m/s$$ along a circle with
Comparative Analysis of Speed and Velocity Measurements
A radar system records both the speed and displacement of a vehicle over time. Answer the following
Comparing Speed and Velocity in Motion
A vehicle travels along a winding road. Although its speedometer shows a consistent reading at certa
Deriving the Relationships Among the BIG FIVE Equations
Derive one of the kinematic equations used in uniformly accelerated motion. Answer the following ste
Determining Average Velocity and Instantaneous Acceleration from a Graph
A position vs. time graph is provided. Analyze it to answer the following questions.
Determining Instantaneous Velocity Using Video Analysis
Design an experiment that utilizes video analysis to determine the instantaneous velocity of an obje
Determining the Acceleration Due to Gravity Using a Free-Fall Apparatus
In this experiment, students drop a ball from a known height and measure the fall time to calculate
Displacement in Complex Motion
A researcher examines the motion of an object following a non-linear path. First, the object moves 1
Distance-Time Relationship Investigation
In this lab, a motion sensor is used to record the distance traveled by an object moving back and fo
Energy Considerations in Accelerated Motion
A 1500-kg car accelerates uniformly from rest to $$25 \; m/s$$ over a distance of 200 m. Use kinemat
Energy Implications of Distance vs. Displacement
A roller coaster car travels a path where the total distance covered is 200 m, but its net displacem
Experimental Determination of Acceleration
In an experiment, a cart's velocity is measured over time and a velocity vs. time graph is plotted.
Experimental Exploration of Distance and Displacement
A mini car is programmed to follow a winding track with curves and turns. Design a laboratory experi
Free Fall Acceleration Verification
Design a controlled experiment to verify the acceleration due to gravity (using $$g = 9.81 \text{ m/
Free Fall Motion Analysis
An object is dropped from rest and allowed to fall under the influence of gravity. The distances fal
Friction in Inclined Plane Experiment Error
A student sets up an experiment on an inclined plane to determine the coefficient of kinetic frictio
Impact of Air Resistance on Projectile Motion
A ball is thrown horizontally from the top of a tall building. In this problem, consider the effects
Interpreting Negative Acceleration and Direction Change
An object's velocity is recorded over time, and the data indicate that the velocity changes sign dur
Investigating Scalar and Vector Quantities: Speed vs. Velocity
Design a laboratory experiment to measure an object's speed and velocity using motion sensors and ti
Kinematics of a Decelerating Vehicle
A truck decelerates uniformly from an initial speed until it comes to a stop. Analyze the following.
Momentum and Force in Collisions Experiment
In a collision experiment on an air track, a moving cart collides with a stationary block. A force s
Motion on an Incline: Experiment Design and Data Analysis
A researcher intends to study the motion of an object on an inclined plane. Answer the following que
Motion on an Incline: Kinematics and Friction
A ball rolls down an inclined plane and its position is recorded over time. Answer the following par
Multi-Phase Journey: Car Navigation
A researcher tracks a car that moves in two segments: first, 120 m east; then, 160 m north. Answer t
Position vs Time Graph Analysis
A position vs time graph for an object is provided. Analyze the graph to identify periods of constan
Position vs. Time Graph Analysis
A position versus time graph for an object in motion is provided. Answer the following questions bas
Position vs. Time Graph Analysis
A position vs. time graph of an object’s motion displays two distinct segments: one linear and one c
Position vs. Time Graph Experiment
A position versus time graph of a moving object is provided (see graph stimulus). You are required t
Projectile Motion Analysis
A ball is thrown with an initial speed of $$20\ m/s$$ at an angle of $$30^\circ$$ above the horizont
Projectile Motion Launch Error
A student sets up a projectile launcher to study the range of a ball. The launcher is fixed at a spe
Projectile Motion with Elevated Launch
A ball is launched from a platform 10 m high with an initial speed of 15 m/s at an angle of 40° abov
Qualitative Analysis: Effects of Air Resistance on Projectile Motion
Air resistance is often neglected in ideal projectile motion problems. Consider its qualitative effe
Race Track Analysis: Distance vs Displacement
A runner completes a race track composed of several straight segments in different directions. The r
River Navigation: Vector Addition and Resultant Displacement
A boat is attempting to cross a river. Its speed relative to the water is 5 m/s heading due north, w
Runner's Motion Analysis
A runner covers an irregular path during a cross-country race. A position vs. time graph of the runn
Scalars vs. Vectors: Identifying Quantities
A researcher compiles data for several physical quantities in an experiment, including temperature,
Speed vs. Velocity Concepts
This question explores the conceptual differences between speed and velocity. Answer the following p
Time of Flight and Range in Angled Motion
A soccer ball is kicked from ground level with an initial speed of $$18\ m/s$$ at an angle of $$50^\
Track Run Analysis: Distance vs. Displacement
A runner on a school track completes one full lap around a curved circuit. Although the runner's pat
Two-Dimensional Projectile Motion: Component Analysis
This question requires you to analyze the two-dimensional components of projectile motion. Consider
Two-Stage Motion Analysis: Acceleration and Deceleration
An object undergoes two stages of motion. In the first stage, it accelerates uniformly from rest to
Uniform Acceleration and Displacement of a Car
A car starting from rest accelerates uniformly at 5 m/s² for 10 seconds. Analyze this motion using k
Uniform Acceleration with Variable Initial Velocities
Two vehicles start moving with different initial velocities but share the same constant acceleration
Uniform Acceleration: Car Motion Analysis
A car starts from rest and accelerates uniformly at $$4 \text{ m/s}^2$$ for $$5 \text{ s}$$.
Uniformly Accelerated Free Fall Analysis
A rock is dropped from a building and its motion is analyzed using both kinematics and a provided ve
Uniformly Accelerated Motion: Graphical Analysis
A researcher analyzes a Position vs. Time graph obtained for a runner. Answer the following question
Vector Addition: Calculating Net Force
This question requires you to resolve force vectors into components and determine the net force acti
Vector and Scalar Quantities Verification Experiment
A student conducts an experiment in which a ball is rolled down an inclined plane and various quanti
Vector vs. Scalar Classification
A list of physical quantities is provided. Classify each as either a vector or a scalar quantity and
Velocity-Time Graph Analysis
A velocity vs. time graph for a moving object is provided. The graph is described by the equation $$
Velocity-Time Graph Analysis
A vehicle's motion is represented by a velocity versus time graph. The graph shows that for the firs
Video Analysis of Accelerated Motion
In this experiment, students record a toy car moving along a track using a video camera to determine
Action-Reaction Forces in Collisions
Examine and apply Newton’s Third Law in the context of collisions. Explore the concept of equal and
Action-Reaction in Everyday Life
Newton's Third Law states that every action has an equal and opposite reaction. Evaluate this law in
Analysis of System Equilibrium on a Rough Surface
A block is placed on a horizontal rough surface. A gradually increasing horizontal force is applied
Analysis of Tension Forces in a Rope
Examine the behavior of tension in a rope connecting two masses and analyze how tension is affected
Analyzing a Car Crash: Friction, Inertia, and Safety
A transportation safety study claims that an abrupt car stop during a crash can be perfectly modeled
Analyzing Forces on a Frictionless Cart
A student investigates the motion of a cart on a frictionless track by applying different constant f
Analyzing Rotational Dynamics: Constant Torque and Angular Acceleration
A demonstration experiment claims that a rotating disk subjected to a constant torque exhibits a con
Applied Force Direction and Acceleration
Design an experiment to investigate how the angle at which a force is applied affects the accelerati
Centripetal Force Analysis in a Swinging Bucket
A 2.0-kg bucket is attached to a rope and swung in a vertical circle with a radius of 1.5 m. At diff
Comparing Gravitational and Inertial Mass
In experiments, gravitational mass is determined by measuring weight in a gravitational field, while
Comparing Gravitational and Inertial Mass in a Vacuum
An experiment is conducted in a vacuum chamber to test the equivalence of gravitational and inertial
Comparing Gravitational and Inertial Mass in an Experiment
A researcher aims to compare gravitational mass (as determined by weight and pendulum oscillations)
Deceleration in a Braking Car Experiment
A student investigates the deceleration of a car during braking. The velocity vs. time graph below s
Designing a Pulley System to Study Accelerated Motion
Develop an experimental design using an Atwood machine (a pulley system with two masses) to measure
Designing a Safety Mechanism in Vehicle Dynamics
In a car collision scenario, forces experienced by passengers can be extremely high over a short tim
Dynamic Equilibrium on a Rotating Platform
A person stands on a rotating platform and remains stationary relative to it. The person is located
Dynamics Experiment 5: Dynamic Force Sensor Calibration
A student performs an experiment using a digital force sensor to quantify the net force acting on a
Dynamics FRQ #2: Tension in a Pulley System
Two masses are connected by a rope over a frictionless pulley system. Mass $$m_1 = 3.0\,kg$$ hangs o
Dynamics FRQ #7: Investigating Inertial Mass with a Force Sensor
A student performs an experiment to measure inertial mass. Using a force sensor, the student applies
Dynamics FRQ #18: Normal Force on a Curved Surface
A roller coaster car of mass 500 kg travels over the top of a convex hill with a radius of curvature
Dynamics of a Block on an Incline with Applied Force
An experiment investigates the motion of a block on an inclined plane while an additional force is a
Dynamics of a Tetherball Swing
A 1.0-kg tetherball is attached to a rope of length 3.0 m and is set into motion, swinging in a near
Dynamics of a Two-Mass Pulley System
A two-mass system is set up with mass $$m_1 = 4 ~kg$$ on a horizontal surface that has kinetic frict
Dynamics of Connected Objects (Pulley Systems)
Analyze the dynamics of a pulley system connecting two masses, and compare theoretical predictions w
Dynamics on an Inclined Plane
A block of mass $$m$$ is placed on a frictional incline with an angle $$\theta$$ relative to the hor
Dynamics Problem 2: Forces on an Inclined Plane
A block of mass $$m = 8\ kg$$ is placed on a frictionless incline that makes an angle $$\theta = 30^
Dynamics Problem 3: Gravitational vs. Inertial Mass Comparison
A scientist conducts an experiment using a torsion balance to compare gravitational and inertial mas
Dynamics Problem 9: Impulse from a Force-Time Graph
A force is applied to a small cart for a short duration, and the force varies with time. A force vs.
Dynamics with Air Resistance Approximation
An object of mass 4 kg is dropped and experiences air resistance acting upward with a constant force
Examining the Role of Inertial Mass in Acceleration
A cart on an air track is propelled by a constant force from a motor. By varying the cart’s mass usi
Force Analysis on a Swinging Crane Arm
A crane lifts a heavy load by rotating its arm while applying tension through a supporting cable. Th
Force Analysis on an Inclined Plane
A 5 kg block is placed on a 30° inclined plane with a coefficient of friction $$\mu = 0.2$$. Analyze
Force Analysis on Explosive Separation
Two objects initially connected separate due to an internal explosion. Object A has mass $$m_A = 1 *
Free-Fall Dynamics Experiment
A student uses a motion sensor to record the motion of a freely falling object. The resulting veloci
Friction on an Inclined Plane
A block of mass 8.00 kg slides down an inclined plane that makes an angle of $$\theta = 25^\circ$$ w
FRQ11: Multi-Force System Dynamics
A block is subjected to multiple forces simultaneously: an applied force, friction, and a tension fo
FRQ13: Tension Effects in a Two-Mass Pulley System
In a two-mass pulley experiment, different mass combinations yield different accelerations. Analyze
FRQ19: Elevator Dynamics: Tension and Acceleration
An experiment on an elevator involves measuring the cable tension for different elevator masses and
Gravitational vs. Inertial Mass Comparison
Newton's laws involve both gravitational and inertial mass. Consider experiments where these masses
Investigating Air Resistance and Terminal Velocity
A researcher drops objects of varying shapes and masses from a tall structure to study the effects o
Investigating Circular Motion and Centripetal Force
A mass is attached to a string and swung in a circle on a horizontal plane. The researcher investiga
Investigating Circular Motion on a Banked Curve
A car negotiates a banked curve with radius $$r = 50 * (m)$$ and bank angle $$\theta = 20^\circ$$. A
Investigating Frictional Forces on an Inclined Plane
Examine the forces acting on a block sliding down an inclined plane with friction. Explore both the
Investigating Gravitational Mass
A series of experiments are conducted to compare gravitational mass and inertial mass. In one experi
Investigating Variable Forces on an Accelerating Car
A car's acceleration over time was recorded as it navigated varying inclines and declines. A graph o
Investigation into the Effects of Applied Force on Acceleration
A cart on an air track is subjected to varying magnitudes of constant force. The resulting accelerat
Mass-Spring System and Damping Forces
A mass-spring system consists of a mass $$m = 0.5 * kg$$ attached to a spring with spring constant $
Mass-Spring System and Dynamics
A mass-spring system consists of a 2 kg mass attached to a spring with a spring constant of $$k = 50
Net Force on a Sliding Block
A 5.00-kg block is placed on a horizontal surface. A constant applied force of 20.0 N pushes the blo
Newton's Third Law in Collision Dynamics
A researcher studies a head-on collision between two objects and collects data on the forces experie
Newton's Third Law: Analysis of Action-Reaction Forces
A collision experiment is conducted where two objects interact over a short interval of time. A grap
Pendulum Experiment for Gravitational Acceleration
A student sets up a pendulum with a long string and heavy bob to measure the gravitational accelerat
Projectile Motion and Air Resistance in a Thrown Ball Experiment
A sports news report claims that for a ball thrown at speeds below $$20$$ m/s, air resistance has a
Projectile Motion with Air Resistance Idealization
A projectile is launched with an initial speed $$v_0 = 20 * m/s$$ at an angle $$\theta = 30°$$ above
Quantitative Analysis of Tension Variation in a Pulley System
In a two-mass pulley system, a researcher analyzes the forces acting on each mass and the tension in
Relationship Between Applied Force and Acceleration
A student performs an experiment on a single object by applying different forces and measuring the r
Rotational Dynamics: Moment of Inertia Measurement
Students aim to measure the moment of inertia of a rotating disk by attaching small masses at known
Spring Force and Acceleration
In a lab experiment, a spring is used to apply a force on an object. The extension of the spring is
Tension and Acceleration in a Two-Mass Pulley System
In an experiment, two masses connected over a pulley are released and both the acceleration of the s
Analysis of a Rotating Space Station for Artificial Gravity
A proposed rotating space station creates artificial gravity on its inner surface by rotating as a c
Analyzing Gravity Measuring Apparatus Data
A student builds a gravity measuring apparatus that relies on timing the free fall of a small ball t
Calculating Tension in a Conical Pendulum Setup
A conical pendulum consists of a mass swinging in a horizontal circle such that the string makes an
Centripetal Force on a Banked Curve
A car navigates a frictionless banked curve of radius $$r$$ and bank angle $$\theta$$. Using a free-
Comparative Study of Orbital Velocities: Terrestrial vs. Celestial Bodies
Design a simulation experiment to compare the orbital velocities of objects orbiting Earth and anoth
Comparing Methodologies: Damped Pendulum versus Free Fall for g Measurement
Design two experimental procedures—one using a damped pendulum and one using free fall—to measure th
Consequences of Uniform Circular Motion in Orbiting Systems
A satellite in a stable circular orbit around Earth relies on the balance between gravitational forc
Designing a Lab to Measure Air Resistance Effects on Free-Fall Acceleration
Design a comprehensive experiment to investigate how air resistance affects the measured free-fall a
Designing an Experiment to Measure Centripetal Acceleration
Design an experiment to measure the centripetal acceleration of an object in uniform circular motion
Determining the Gravitational Constant G Using a Torsion Balance
Design an experiment using a torsion balance to measure the gravitational constant $$G$$. Your desig
Effect of Magnetic Forces on Uniform Circular Motion
Design an experiment to investigate how an applied magnetic field influences the circular motion of
Experimental Determination of Gravitational Acceleration
In a free-fall experiment, a student drops an object from various known heights and records the time
Experimental Validation of Gravitational Law
Free-fall experiments were conducted at various altitudes to measure gravitational acceleration. The
Free Fall on Different Celestial Bodies
An experiment involves dropping an object from a height of 20 m under different gravitational accele
Free-Fall Versus Circular Motion Analysis
Compare the dynamics of free-fall motion and uniform circular motion. (a) Derive the equations gover
Graph Analysis of Uniform Circular Motion
In an experiment, the centripetal acceleration of a rotating object was measured at various speeds.
Investigation of Force Measurement Techniques in Uniform Circular Motion
Design an experiment to compare different techniques for measuring centripetal force in a system und
Measuring Gravitational Acceleration Variation on Earth's Surface
An experiment was conducted in a mountainous region to measure gravitational acceleration at various
Non-uniform Circular Motion with Tangential Acceleration
A particle in nearly uniform circular motion experiences a small tangential acceleration in addition
Orbital Period Analysis of a Moon
A small moon orbits a planet in a nearly circular orbit. The gravitational force provides the centri
Pendulum Period Variations and Gravitation
A pendulum clock is used to measure local gravitational acceleration by observing its period. The pe
Radius Change and its Effect on Centripetal Acceleration
A car travels at a constant speed of 20 m/s around a circular track. Answer the following:
Satellite Motion and Free-Body Analysis
This problem involves analyzing a satellite in orbit, including drawing a free-body diagram and deri
Satellite Orbit and Free-fall
A 500-kg satellite is orbiting the Earth at an altitude of 300 km above the Earth's surface. Assume
Transition from Circular to Projectile Motion
This problem investigates the transition of motion from uniform circular to projectile motion when t
Uniform Circular Motion of a Ball on a String
A ball of mass $$m = 0.5 \;kg$$ is attached to a string and swung in a horizontal circle of radius $
Vertical Circular Motion
A 0.5 kg mass is swung in a vertical circle of radius 2 m at a constant speed of 6 m/s.
Water Park Slide Centripetal Dynamics
At a water park, a curved slide features a circular arc section with a fixed radius of $$r = 5\,m$$.
Analysis of Mechanical Energy Conservation in a Pendulum
A pendulum with a 2 kg bob is released from a height of 1.5 m above its lowest point. Answer the fol
Analysis of Power Output in Weight Lifting
A study measures human power output by having a subject lift a weight (mass = 50 kg) vertically by 2
Analysis of Work with Variable Force and Angle
An object is pulled along a horizontal surface using a rope. However, both the magnitude of the appl
Calculating Power Output in Lifting Tasks
A person lifts a 60 kg weight vertically by 1.5 m off the ground in 3 seconds. Answer the following:
Comparative Analysis of Work in Different Force Directions
A researcher pushes two identical boxes under different conditions. In Case A, the force is applied
Energy Analysis of a Spring-Mass System
A 2 kg mass is attached to a spring with a spring constant of 100 N/m and is pulled 0.3 m from its e
Energy Transformation in a Pendulum
A simple pendulum of length 2 m and mass 1 kg is released from an initial angle of $$30°$$ with the
Energy Transformation in a Roller Coaster
A roller coaster car with a mass of 500 kg starts from rest at the top of a 20 m high hill and desce
Evaluating Mechanical Advantage in a Pulley System
A pulley system is used to lift a 100 kg load. The system requires an applied force of $$150 N$$ ove
Evaluating the Impact of Nonconservative Forces in a Pendulum
A simple pendulum is released from rest at a height of $$1.00\,m$$ above its lowest point. Due to ai
Force at an Angle: Lifting a Load
A construction worker lifts a heavy load using a rope that makes an angle of $$30^{\circ}$$ with the
Forces and Energy in a Bicycle Ride
A cyclist with a total mass (including the bicycle) of $$80\,kg$$ rides uphill and gains a vertical
Interpreting a Diagram of Mechanical Energy Conservation
A diagram is provided that shows the energy transformations of a roller coaster car as it moves alon
Interpreting a Free-Body Diagram of a Block on an Incline
Below is a free-body diagram intended to represent a block on an inclined plane. The diagram shows t
Investigating Power Variations in Electric Motor-Driven Lifts
An electric motor is used to power a lift that raises a load at constant speed. The experiment recor
Investigating the Scalar Nature of Work
Review the experimental data that illustrates how work varies with the angle between force and displ
Investigation of Friction in a Sliding Block
A 2 kg block initially moving at 6 m/s decelerates to 2 m/s due to friction on a horizontal surface.
Kinetic Energy and Braking Force
A vehicle of mass $$1200 kg$$ is traveling at $$20 m/s$$ and comes to a stop over a distance of $$40
Pendulum Energy Conservation and Nonconservative Forces
In this experiment, a student sets up a pendulum and measures its maximum height and the speed at it
Power Calculation for Lifting Equipment
A lifting crane raises a $$1000\;kg$$ load vertically by $$10\;m$$ in $$20\;s$$. Calculate the work
Pulley System Energy Analysis
In a pulley system, a 50 kg mass is lifted 3 m vertically. Due to friction in the pulley, an extra 1
Quantitative Analysis of Frictional Work
Examine the provided data which quantifies work done by friction on surfaces of varying roughness. A
Variable Force Analysis in Tug-of-War
In a tug-of-war competition, force measurements for the winning team are recorded over a 10-second i
Work and Power in a Lifting Scenario
A person lifts a 50 kg weight vertically by 2 m in 5 seconds. Answer the following:
Work-Energy Theorem in a Kinetic Friction Scenario
A $$2\;kg$$ block slides across a rough surface. It starts with an initial velocity of $$5\;m/s$$ an
Analysis of a Perfectly Inelastic Collision
Consider a 2.0 kg cart moving at 4.0 m/s that collides with a 3.0 kg cart at rest, and the two carts
Car Braking and Impulse
A car of mass $$1200\,kg$$ traveling at $$25\,m/s$$ comes to a complete stop by braking over a time
Coefficient of Restitution and Collision Analysis
In a collision experiment, two objects rebound after impact. Object X (mass = 1 kg) and Object Y (ma
Coefficient of Restitution in Collisions
A 1.0 kg ball moving at 8 m/s collides head-on with a 1.0 kg ball moving at -2 m/s. After the collis
Critique of Experimental Design in Momentum Measurement
A laboratory experiment is designed to measure the impulse delivered to a ball by a bat. The experim
Data Analysis of Collision from Velocity Graph
The velocity vs. time graph for Glider A during a collision on an air track is provided. Assume Glid
Design an Experiment to Verify Momentum Conservation
Design a controlled laboratory experiment to verify the law of conservation of linear momentum. Your
Designing an Air Track Experiment for Momentum Conservation
A student plans to verify momentum conservation using an air track and gliders. The experiment invol
Determining the Coefficient of Restitution
A ball of mass $$0.5 \ kg$$ is thrown against a wall with a speed of $$10 \ m/s$$. After rebounding
Determining the Coefficient of Restitution using Collision Data
A ball is dropped from a height and bounces off a hard surface. Using the recorded drop heights and
Erroneous Application of Momentum Conservation in Explosive Separations
In this experiment, an object is exploded into two fragments by a small charge, and the velocities o
Explosive Separation in a Projectile
A projectile of total mass 5.0 kg explodes mid-air into two fragments. One fragment has a mass of 3.
Firework Launch Momentum Analysis
A researcher studies the launch of a firework rocket by measuring both force over time and the subse
Ice Hockey Puck Collision
An ice hockey puck of mass $$0.17 \ kg$$ moves at $$30 \ m/s$$ when it is struck by a hockey stick.
Impact of External Forces on Momentum Conservation
Investigate how small external forces, such as air resistance or friction, can affect the conservati
Impulse and its Graphical Representation
A force versus time graph with both positive and negative force regions is provided. Analyze the gra
Impulse Applied to Varying Masses
In a physics lab, a constant impulse of $$10$$ Ns is applied separately to two objects of different
Impulse in Sports Performance
In sports such as baseball, the brief, high-force impact between the bat and ball generates an impul
Impulse‐Momentum Theorem from Force‐Time Graph
A ball collides with a wall, and the force exerted during the collision is recorded in a force-time
Impulse, Momentum, and Safety: Automobile Crash Analysis
Design an experiment or simulation to evaluate how automobile safety features (such as airbags and c
Inelastic Collision Investigation
A researcher observes an inelastic collision in which two vehicles collide and stick together. The e
Momentum and Energy in a Diver's Jump
A diver with a mass of $$70\,kg$$ jumps off a platform and enters the water at a speed of $$3.0\,m/s
Momentum Change Due to Friction
A 5.0 kg block is sliding on a horizontal surface and comes to rest due to kinetic friction over a p
Momentum Conservation in Collisions
In a collision experiment, two objects on a frictionless surface exhibit the following experimental
Momentum Conservation in Explosions
A 10 kg object at rest explodes into two fragments. One fragment, with a mass of 6 kg, is observed t
Momentum in Explosions
A projectile of mass 1.2 kg is moving horizontally at 20 m/s when it explodes into two fragments. On
Momentum in Water Collisions: Inelastic Collision in a Fluid
A small boat (mass $$500\,kg$$) moving at $$4\,m/s$$ collides with a floating barrel (mass $$100\,kg
Momentum Transfer in a Baseball Collision
A baseball (mass $$0.145\,\text{kg}$$) is pitched toward a batter at $$40\,\text{m/s}$$. Upon being
Perfectly Inelastic Collision: System Momentum Analysis
Two vehicles are involved in a head-on collision and lock together after impact. Vehicle A has a mas
Sports Collision: Soccer Heading Impact
A soccer ball with mass $$0.43 \ kg$$ is moving at $$15 \ m/s$$ toward a player's head. Upon impact,
Two-Dimensional Collision with Angular Components
Two objects on a frictionless surface collide. Object A (mass $$1.5$$ kg) is moving at $$4$$ m/s hor
Amplitude Independence of Period in SHM
In ideal simple harmonic motion, the period is independent of the amplitude. Answer the following pa
Analysis of the Effects of Gravity on Pendulum SHM
A pendulum’s period is influenced by the gravitational acceleration in its environment.
Calculating Energy Loss in a Damped Oscillator
In a damped oscillator, the amplitude decays over time due to energy dissipation. (a) Derive the ex
Comparing Displacement Functions
Consider the two displacement functions for a mass-spring system: $$x_1(t)= A*cos(ω*t+φ)$$ and $$x_2
Conservation of Energy Over a SHM Cycle
A block attached to a spring oscillates with constant total mechanical energy. (a) Write expression
Coupled Oscillators and Energy Transfer
When two mass-spring oscillators are coupled by a weak spring, energy can be exchanged between them,
Design Challenge: Combined SHM System
A researcher designs a compound system in which a pendulum is attached to a spring, resulting in two
Determining Spring Constant from Energy Measurements
A mass-spring oscillator has a measured amplitude of 0.25 m and a total mechanical energy of 3.125 J
Determining the Damping Coefficient from Experimental Data
An experiment on a damped oscillator recorded its amplitude at different times. The data is shown in
Effect of Mass Variation on Oscillation Parameters
An investigation is conducted in which the mass attached to a spring in an SHM system is varied, whi
Energy Transformation in a Mass-Spring System
In a mass-spring system, the total mechanical energy is given by $$E = \frac{1}{2} k A^2$$, while th
Evidence of Damping in Oscillatory Motion
An experiment studying a damped oscillator records the amplitude of oscillation at successive time i
Experimental Data Analysis in SHM
An experiment on a mass-spring oscillator yields the following displacement data as a function of ti
Experimental Determination of Angular Frequency
An experiment recorded the displacement of a mass-spring oscillator at various times (see table belo
Exploring SHM in Pendulums
Examine the validity of the small-angle approximation used in simple pendulum motion.
Force Analysis in SHM: Vector Representation
The restoring force in SHM is given by Hooke’s Law: $$F = -k*x$$. (a) Explain the significance of t
Investigating the Relationship between Frequency and Energy in SHM
Analyze the relationship between the frequency of oscillation and the energy in a mass-spring system
Mathematical Modeling of SHM
Develop a mathematical model for the displacement of a harmonic oscillator.
Pendulum Length and Period Investigation
A physics student wants to investigate the relationship between the length of a simple pendulum and
Pendulum Motion Comparison
Pendulums are a common example of systems exhibiting periodic motion. Answer the following:
Pendulum Period Analysis
In an experiment studying pendulum motion, the period of a pendulum was measured for different lengt
Pendulum vs. Mass-Spring Oscillator Behavior
A researcher compares the oscillatory behavior of a simple pendulum with that of a mass-spring oscil
Phase Shift Analysis in Damped SHM
Investigate how damping influences the phase shift in a simple harmonic oscillator.
Analyzing a Damped Rotational System
Investigate a rotating disc subjected to a damping torque proportional to its angular velocity.
Analyzing Angular Acceleration from Graph Data
A rotating object’s angular velocity is recorded over time. Analyze the provided graph to determine
Angular Displacement from Arc Length
A car travels along a circular track with a radius of $$50 \;m$$ and covers an arc length of $$200 \
Angular Impulse Analysis
A rotating turntable receives a brief pulse of force, which results in an angular impulse that chang
Basic Angular Kinematics Calculations
A rotating wheel undergoes an angular displacement of $$6.28 \text{ rad}$$ in 4 s. (a) Calculate its
Center of Mass vs. Geometric Center: A Rotational Dynamics Experiment
In an experiment on a non-uniform rod, mass elements are recorded at various positions along the rod
Conservation of Angular Momentum in Changing Radius Systems
A figure skater spins with arms extended at an angular speed of $$\omega_i = 2\;rad/s$$ and has a mo
Coupled Rotational Systems Analysis
A system consists of two disks connected by a frictionless axle. Disk X has mass $$4 \text{ kg}$$ an
Cylindrical Rod Angular Acceleration Experiment Error
A student conducts an experiment to measure the angular acceleration of a cylindrical rod pivoted at
Designing a Rotational Motion Experiment
Design an experiment to measure the moment of inertia of a solid cylinder. Outline the experimental
Determining Angular Acceleration in Non-Uniform Circular Motion
A rotating system exhibits non-uniform circular motion. Analyze the provided graph to determine both
Determining the Effect of Mass Distribution on Torque
An experiment investigates how the torque produced by a force changes with the lever arm distance. T
Force Distribution on a Rotating Beam
In this problem, you will analyze torques produced by weights attached to a beam and determine the a
Load Distribution and Angular Velocity in a Space Station
A rotating space station generates artificial gravity. Initially, the station has a moment of inerti
Moment of Inertia Calculation for a Solid Disk
A solid disk of mass $$5 \text{ kg}$$ and radius $$0.3 \text{ m}$$ rotates about its center. (a) Wri
Relating Angular to Linear Motion
A carousel rotates at a constant angular velocity of $$0.8 \text{ rad/s}$$. (a) Calculate the tangen
Rotational Collision Dynamics
Two separate rotating bodies collide and stick together. Analyze the collision using conservation of
Rotational Collision: Turntable and Clay Ball
A turntable with a moment of inertia $$3.0 kg·m^2$$ rotates at $$5 rad/s$$. A clay ball of mass $$2
Rotational Kinetic Energy Experiment Error
A student attempts to measure the rotational kinetic energy of a spinning disk by recording its angu
Torque and Angular Acceleration Experiment
A series of experiments measures the relationship between applied torque and resulting angular accel
Torque Calculation with Off-Axis Forces
A force of 50 N is applied at an angle of 30° to a wrench that is 0.4 m long. Determine the effectiv
Torque Requirements in a Robotic Arm
Design a robotic arm joint system where motors are required to generate sufficient torque for rotati
Trusted by millions
Everyone is relying on Knowt, and we never let them down.
Need to review before working on AP Physics 1: Algebra-Based FRQs?
We have over 5 million resources across various exams, and subjects to refer to at any point.
Browse top AP materials
We’ve found the best flashcards & notes on Knowt.
Explore top AP flashcards
Flashcards (40)Explore top AP notes
Note Tips from Former AP Students
FAQ
We thought you might have some questions...
- Of course, make sure to run through College Board's past FRQ questions!
- Once you’re done with those go through all the questions in the AP Physics 1: Algebra-BasedFree Response Room. You can answer the question and have it grade you against the rubric so you know exactly where to improve.
- Reddit it also a great place to find AP free response questions that other students may have access to.