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Prepare for the timed AP Physics 1: Algebra-Based test.

Your answers are held until submission. The final review identifies the units that need another pass.

AP Physics 1: Algebra-Based coverage and review map

Connect every question to the exact skill it rehearses. Work through the units in order, then return to any topic that still needs a hint or a second attempt.

01

Kinematics

Motion representations and models

Goal: recognise a kinematics problem from its wording, carry out the governing method, and check that the result is reasonable.

02

Force and Translational Dynamics

Newton's laws and systems

Goal: recognise a force and translational dynamics problem from its wording, carry out the governing method, and check that the result is reasonable.

03

Work, Energy, and Power

Energy models and conservation

Goal: recognise a work, energy, and power problem from its wording, carry out the governing method, and check that the result is reasonable.

04

Linear Momentum

Impulse, collisions, center of mass

Goal: recognise a linear momentum problem from its wording, carry out the governing method, and check that the result is reasonable.

05

Torque and Rotational Dynamics

Angular acceleration and inertia

Goal: recognise a torque and rotational dynamics problem from its wording, carry out the governing method, and check that the result is reasonable.

06

Energy and Momentum of Rotating Systems

Rotational conservation laws

Goal: recognise a energy and momentum of rotating systems problem from its wording, carry out the governing method, and check that the result is reasonable.

07

Oscillations

Springs, pendulums, energy

Goal: recognise a oscillations problem from its wording, carry out the governing method, and check that the result is reasonable.

08

Fluids

Pressure, buoyancy, continuity

Goal: recognise a fluids problem from its wording, carry out the governing method, and check that the result is reasonable.

AP Physics 1: Algebra-Based questions with worked answers

These 8 questions are printed in full on this page and are drawn across all 8 course units. Nothing here is generated on the fly. Cover the options, solve each one on paper, and only then open the worked answer to compare your method with the one shown.

Question 1: A car accelerates uniformly from rest to 30 m/s over 100 m. What is its acceleration?

AP Physics 1: Algebra-Based · Kinematics

  1. 4.5 m/s^2
  2. 0.3 m/s^2
  3. 9.0 m/s^2
  4. 300 m/s^2
Show the worked answer
  1. Use v squared = v0 squared + 2a times the distance, with v0 = 0.
  2. 30^2 = 900.
  3. So 900 = 2a(100) = 200a.
  4. a = 900 / 200 = 4.5 m/s^2.

Answer: 4.5 m/s^2

Question 2: A 5 kg block slides down a frictionless 30 degree incline. What is its acceleration? Use g = 9.8 m/s^2.

AP Physics 1: Algebra-Based · Force and Translational Dynamics

  1. 4.9 m/s^2
  2. 9.8 m/s^2
  3. 8.5 m/s^2
  4. 2.5 m/s^2
Show the worked answer
  1. The component of gravity along the incline is mg sin(theta).
  2. Newton's second law gives a = g sin(theta), so the mass cancels out.
  3. sin 30 = 0.5.
  4. 9.8 x 0.5 = 4.9 m/s^2.

Answer: 4.9 m/s^2

Question 3: A 20 kg crate is lifted 3 m in 4 s at steady speed. What are the work done and the power? Use g = 9.8 m/s^2.

AP Physics 1: Algebra-Based · Work, Energy, and Power

  1. 588 J and 147 W
  2. 60 J and 15 W
  3. 588 J and 2,352 W
  4. 196 J and 49 W
Show the worked answer
  1. The lifting force equals the weight: 20 x 9.8 = 196 N.
  2. Work is force times distance: 196 x 3 = 588 J.
  3. Power is work divided by time.
  4. 588 / 4 = 147 W.

Answer: 588 J and 147 W

Question 4: A 2 kg cart moving at 4 m/s sticks to a 6 kg cart at rest. What is their common speed after the collision?

AP Physics 1: Algebra-Based · Linear Momentum

  1. 1 m/s
  2. 2 m/s
  3. 4 m/s
  4. 0.5 m/s
Show the worked answer
  1. Momentum is conserved in every collision.
  2. Before: 2 x 4 = 8 kg m/s, and the second cart contributes nothing.
  3. After, the carts move together with a combined mass of 2 + 6 = 8 kg.
  4. 8 / 8 = 1 m/s.

Answer: 1 m/s

Question 5: A 30 N force acts perpendicular to a wrench 0.4 m from the pivot. If the rotational inertia is 2 kg m^2, what are the torque and angular acceleration?

AP Physics 1: Algebra-Based · Torque and Rotational Dynamics

  1. 12 N m and 6 rad/s^2
  2. 12 N m and 24 rad/s^2
  3. 75 N m and 6 rad/s^2
  4. 30 N m and 15 rad/s^2
Show the worked answer
  1. Torque is force times the perpendicular distance from the pivot.
  2. 30 x 0.4 = 12 N m.
  3. The rotational form of Newton's second law is torque = I times angular acceleration.
  4. 12 / 2 = 6 rad/s^2.

Answer: 12 N m and 6 rad/s^2

Question 6: A wheel with rotational inertia 0.5 kg m^2 spins at 10 rad/s. What is its rotational kinetic energy?

AP Physics 1: Algebra-Based · Energy and Momentum of Rotating Systems

  1. 25 J
  2. 5 J
  3. 50 J
  4. 2.5 J
Show the worked answer
  1. Rotational kinetic energy is one half times I times the angular speed squared.
  2. The angular speed squared is 10^2 = 100.
  3. 0.5 x 100 = 50.
  4. Half of 50 is 25 J.

Answer: 25 J

Question 7: A 0.5 kg mass hangs on a spring with stiffness 200 N/m. What is the period of oscillation, to three decimal places?

AP Physics 1: Algebra-Based · Oscillations

  1. 0.314 s
  2. 3.183 s
  3. 0.050 s
  4. 0.628 s
Show the worked answer
  1. The period of a mass on a spring is 2 pi times the square root of (m / k).
  2. m / k = 0.5 / 200 = 0.0025.
  3. The square root of 0.0025 is 0.05.
  4. 2 pi x 0.05 = 0.314 s.

Answer: 0.314 s

Question 8: What is the gauge pressure 10 m below the surface of fresh water? Use density 1,000 kg/m^3 and g = 9.8 m/s^2.

AP Physics 1: Algebra-Based · Fluids

  1. 98,000 Pa
  2. 9,800 Pa
  3. 980,000 Pa
  4. 10,000 Pa
Show the worked answer
  1. Gauge pressure from a fluid column is density times g times depth.
  2. 1,000 x 9.8 = 9,800.
  3. 9,800 x 10 = 98,000.
  4. So the gauge pressure is 98,000 Pa, roughly one extra atmosphere.

Answer: 98,000 Pa

Which unit each printed question belongs to

Use this map after marking your work. If two misses share a unit, review that unit before starting a generated set.

The 8 printed AP Physics 1: Algebra-Based questions, the unit each one tests, and its answer.
QuestionUnitWhat it asksAnswer
1KinematicsA car accelerates uniformly from rest to 30 m/s over 100 m. What is its acceleration?4.5 m/s^2
2Force and Translational DynamicsA 5 kg block slides down a frictionless 30 degree incline. What is its acceleration? Use g = 9.8 m/s^2.4.9 m/s^2
3Work, Energy, and PowerA 20 kg crate is lifted 3 m in 4 s at steady speed. What are the work done and the power? Use g = 9.8 m/s^2.588 J and 147 W
4Linear MomentumA 2 kg cart moving at 4 m/s sticks to a 6 kg cart at rest. What is their common speed after the collision?1 m/s
5Torque and Rotational DynamicsA 30 N force acts perpendicular to a wrench 0.4 m from the pivot. If the rotational inertia is 2 kg m^2, what are the torque and angular acceleration?12 N m and 6 rad/s^2
6Energy and Momentum of Rotating SystemsA wheel with rotational inertia 0.5 kg m^2 spins at 10 rad/s. What is its rotational kinetic energy?25 J
7OscillationsA 0.5 kg mass hangs on a spring with stiffness 200 N/m. What is the period of oscillation, to three decimal places?0.314 s
8FluidsWhat is the gauge pressure 10 m below the surface of fresh water? Use density 1,000 kg/m^3 and g = 9.8 m/s^2.98,000 Pa

How the generated AP Physics 1: Algebra-Based sets are created

The 8 questions above are fixed and checked. The generator at the top of the page is different: it writes fresh questions with AI from the course and unit information shown here, then the application checks each one for a complete prompt, four choices, one keyed answer, and an explanation. Generated questions are original practice—not official or released exam questions—and AI can still make mathematical mistakes. Verify a disputed answer with the stated method, your course materials, or the MathGPT solver, and follow the site's academic-integrity guidance.

Questions about this AP Physics 1: Algebra-Based course test

What does this page cover?

It covers all 8 AP Physics 1: Algebra-Based units listed above.

When can I see correct answers and explanations?

Submit the full test first. The result screen then shows every response, the correct answer, and the explanation so you can review each miss.

How long is each section of the AP Physics 1: Algebra-Based exam?

Multiple choice: 1 hour 25 minutes, 42 questions. Free response: 1 hour 35 minutes, 4 questions.

Which AP Physics 1: Algebra-Based sections allow a graphing calculator?

Rules change from section to section. Multiple choice: four-function, scientific, or graphing calculator. Free response: four-function, scientific, or graphing calculator. Provided for the whole exam: equations and constants table. Practise each section under its own rule.

Which AP Physics 1: Algebra-Based units does this test cover?

All eight: Kinematics, Force and Translational Dynamics, Work, Energy, and Power, Linear Momentum, Torque and Rotational Dynamics, Energy and Momentum of Rotating Systems, Oscillations, Fluids. Study first: Free-body diagrams.

What should I check first when I review a missed AP Physics 1: Algebra-Based question?

Plugging in numbers before finishing the symbolic answer. Symbolic work is graded, and a number hides the mistake.

What should I do with a missed question?

Classify the miss as a definition, setup, calculation, interpretation, or timing error. Re-solve it from a blank page, then use the MathGPT tutor for a hint or method check.