AP Physics 1 | Unit 1 Progress Check Questions and Answers
with 100% Correct Answers | Latest Version 2026/2027 |
Complete Test Guide
Multiple Choices.
1. A rock is dropped from rest off a high cliff. What is its speed after 4 seconds, ignoring air resistance?
A) 19.6 m/s
B) 39.2 m/s
C) 9.8 m/s
D) 0 m/s
Answer: B
Using v = v₀ + at with v₀=0 and a=9.8 m/s², the speed is 39.2 m/s after 4 seconds.
2. A ball is thrown straight upward with a speed of 20 m/s. How high will it go before it starts to fall back down?
A) 10.2 m
B) 20.4 m
C) 40.8 m
D) 80.0 m
Answer: B
At maximum height, the final velocity is 0. Using v² = v₀² + 2aΔy, the displacement is approximately 20.4 m.
3. A car accelerates uniformly from rest to a speed of 30 m/s over a distance of 90 m. What is the magnitude of its
acceleration?
A) 3.0 m/s²
B) 5.0 m/s²
C) 10.0 m/s²
D) 15.0 m/s²
Answer: B
Using v² = v₀² + 2aΔx, we solve for a = (30²)/(290) = 5.0 m/s².
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,4. A projectile is fired horizontally from a cliff 45 meters high. How long does it take to reach the ground?
A) 1.5 s
B) 3.0 s
C) 4.5 s
D) 9.0 s
Answer: B
The time of flight depends only on vertical motion. Using Δy = ½gt², t = sqrt(245/9.8) ≈ 3.0 s.
5. An object moves with a constant velocity. Which of the following statements is true?
A) Its acceleration is positive.
B) Its acceleration is zero.
C) Its acceleration is negative.
D) Its acceleration is changing.
Answer: B
By definition, constant velocity means both speed and direction are constant, resulting in zero acceleration.
6. A cart travels 2 meters in 1 second, then 4 meters in 2 seconds. What is the cart's average speed?
A) 1.0 m/s
B) 1.5 m/s
C) 2.0 m/s
D) 3.0 m/s
Answer: C
Average speed is total distance divided by total time. (2+4)m / (1+2)s = 2 m/s.
7. A ball is thrown vertically upward. At the peak of its trajectory, what is its velocity and acceleration?
A) v=0, a=0
B) v=9.8 m/s, a=0
C) v=0, a=9.8 m/s² downward
D) v=9.8 m/s, a=9.8 m/s² downward
Answer: C
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,At the peak, the velocity is momentarily zero, but the acceleration due to gravity is always 9.8 m/s² downward.
8. Which of the following quantities is a vector?
A) Speed
B) Distance
C) Displacement
D) Time
Answer: C
Displacement has both magnitude and direction, making it a vector. Speed, distance, and time are scalars.
9. A runner moves 400 m North, then 300 m East. What is the magnitude of the displacement?
A) 100 m
B) 500 m
C) 700 m
D) 100 m
Answer: B
Displacement is the straight-line distance from start to finish, found using the Pythagorean theorem: sqrt(400² +
300²) = 500 m.
10. A train is moving at 60 m/s and brakes to a stop in 15 seconds. What is the average acceleration?
A) 4.0 m/s²
B) -4.0 m/s²
C) 0.25 m/s²
D) -0.25 m/s²
Answer: B
Acceleration is (v_f - v_i)/t = (0 - 60)/15 = -4.0 m/s².
11. A ball is dropped from a height of 19.6 m. How long does it take to reach the ground?
A) 1.0 s
B) 2.0 s
C) 3.0 s
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, D) 4.0 s
Answer: B
Using Δy = ½gt², t = sqrt(219.6/9.8) = 2.0 s.
12. Which of the following is true about an object in free fall?
A) It has a constant velocity.
B) It experiences an acceleration of 9.8 m/s² downward.
C) Its acceleration is zero.
D) It experiences a constant upward force.
Answer: B
In free fall, the only force acting is gravity, which imparts a constant downward acceleration of g.
13. A car's velocity changes from 10 m/s to 30 m/s in 4 seconds. What is its average acceleration?
A) 2.5 m/s²
B) 5.0 m/s²
C) 7.5 m/s²
D) 10.0 m/s²
Answer: B
Average acceleration is the change in velocity divided by time: (30 - 10)/4 = 5.0 m/s².
14. A ball is thrown horizontally at a speed of 15 m/s from a 20 m high cliff. What is its horizontal range?
A) 15 m
B) 30 m
C) 45 m
D) 60 m
Answer: B
First, find time in air: t = sqrt(220/9.8) ≈ 2.0 s. Horizontal range = v_x * t = 15 * 2 = 30 m.
15. An object's position is given by x(t) = 2t² + 3t. What is its velocity at t=2 seconds?
A) 7 m/s
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with 100% Correct Answers | Latest Version 2026/2027 |
Complete Test Guide
Multiple Choices.
1. A rock is dropped from rest off a high cliff. What is its speed after 4 seconds, ignoring air resistance?
A) 19.6 m/s
B) 39.2 m/s
C) 9.8 m/s
D) 0 m/s
Answer: B
Using v = v₀ + at with v₀=0 and a=9.8 m/s², the speed is 39.2 m/s after 4 seconds.
2. A ball is thrown straight upward with a speed of 20 m/s. How high will it go before it starts to fall back down?
A) 10.2 m
B) 20.4 m
C) 40.8 m
D) 80.0 m
Answer: B
At maximum height, the final velocity is 0. Using v² = v₀² + 2aΔy, the displacement is approximately 20.4 m.
3. A car accelerates uniformly from rest to a speed of 30 m/s over a distance of 90 m. What is the magnitude of its
acceleration?
A) 3.0 m/s²
B) 5.0 m/s²
C) 10.0 m/s²
D) 15.0 m/s²
Answer: B
Using v² = v₀² + 2aΔx, we solve for a = (30²)/(290) = 5.0 m/s².
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,4. A projectile is fired horizontally from a cliff 45 meters high. How long does it take to reach the ground?
A) 1.5 s
B) 3.0 s
C) 4.5 s
D) 9.0 s
Answer: B
The time of flight depends only on vertical motion. Using Δy = ½gt², t = sqrt(245/9.8) ≈ 3.0 s.
5. An object moves with a constant velocity. Which of the following statements is true?
A) Its acceleration is positive.
B) Its acceleration is zero.
C) Its acceleration is negative.
D) Its acceleration is changing.
Answer: B
By definition, constant velocity means both speed and direction are constant, resulting in zero acceleration.
6. A cart travels 2 meters in 1 second, then 4 meters in 2 seconds. What is the cart's average speed?
A) 1.0 m/s
B) 1.5 m/s
C) 2.0 m/s
D) 3.0 m/s
Answer: C
Average speed is total distance divided by total time. (2+4)m / (1+2)s = 2 m/s.
7. A ball is thrown vertically upward. At the peak of its trajectory, what is its velocity and acceleration?
A) v=0, a=0
B) v=9.8 m/s, a=0
C) v=0, a=9.8 m/s² downward
D) v=9.8 m/s, a=9.8 m/s² downward
Answer: C
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,At the peak, the velocity is momentarily zero, but the acceleration due to gravity is always 9.8 m/s² downward.
8. Which of the following quantities is a vector?
A) Speed
B) Distance
C) Displacement
D) Time
Answer: C
Displacement has both magnitude and direction, making it a vector. Speed, distance, and time are scalars.
9. A runner moves 400 m North, then 300 m East. What is the magnitude of the displacement?
A) 100 m
B) 500 m
C) 700 m
D) 100 m
Answer: B
Displacement is the straight-line distance from start to finish, found using the Pythagorean theorem: sqrt(400² +
300²) = 500 m.
10. A train is moving at 60 m/s and brakes to a stop in 15 seconds. What is the average acceleration?
A) 4.0 m/s²
B) -4.0 m/s²
C) 0.25 m/s²
D) -0.25 m/s²
Answer: B
Acceleration is (v_f - v_i)/t = (0 - 60)/15 = -4.0 m/s².
11. A ball is dropped from a height of 19.6 m. How long does it take to reach the ground?
A) 1.0 s
B) 2.0 s
C) 3.0 s
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, D) 4.0 s
Answer: B
Using Δy = ½gt², t = sqrt(219.6/9.8) = 2.0 s.
12. Which of the following is true about an object in free fall?
A) It has a constant velocity.
B) It experiences an acceleration of 9.8 m/s² downward.
C) Its acceleration is zero.
D) It experiences a constant upward force.
Answer: B
In free fall, the only force acting is gravity, which imparts a constant downward acceleration of g.
13. A car's velocity changes from 10 m/s to 30 m/s in 4 seconds. What is its average acceleration?
A) 2.5 m/s²
B) 5.0 m/s²
C) 7.5 m/s²
D) 10.0 m/s²
Answer: B
Average acceleration is the change in velocity divided by time: (30 - 10)/4 = 5.0 m/s².
14. A ball is thrown horizontally at a speed of 15 m/s from a 20 m high cliff. What is its horizontal range?
A) 15 m
B) 30 m
C) 45 m
D) 60 m
Answer: B
First, find time in air: t = sqrt(220/9.8) ≈ 2.0 s. Horizontal range = v_x * t = 15 * 2 = 30 m.
15. An object's position is given by x(t) = 2t² + 3t. What is its velocity at t=2 seconds?
A) 7 m/s
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