Kinematics worksheet with answers

Free printable Kinematics worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy

A stone is dropped from rest from a bridge 15 m above the water. Ignore air resistance and use g = 9.81 m/s². Find its speed v just before it hits the water.

v₀ = 0h = 15 mg = 9.81 m/s²

v = m/s

2.Easy

A car moving at 10 m/s speeds up with a constant acceleration of 1.5 m/s² for 11 s. Find its final speed v.

v₀ = 10 m/sa = 1.5 m/s²t = 11 s

v = m/s

3.Medium

A driver moving at 90 km/h sees an obstacle. Her reaction time is 1.2 s, after which the car brakes with a constant deceleration of 4 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 90 km/ht_r = 1.2 sa = −4 m/s²

d = m

4.Medium

A driver moving at 50 km/h sees an obstacle. Her reaction time is 0.7 s, after which the car brakes with a constant deceleration of 7.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 50 km/ht_r = 0.7 sa = −7.5 m/s²

d = m

5.Hard

A ball is thrown straight up at 17 m/s from the edge of a roof 40 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height h_max above the ground.

v₀ = 17 m/sh₀ = 40 mg = 9.81 m/s²

h_max = m

6.Hard

A stone is dropped from rest into a well. The splash is heard 3.8 s after the stone is released. The speed of sound is 343 m/s; ignore air resistance and use g = 9.81 m/s². Find the depth d of the well.

t_total = 3.8 sv_sound = 343 m/sg = 9.81 m/s²

d = m

Answer key

1. v = 17.16 m/s
2. v = 26.5 m/s
3. d = 108.1 m
4. d = 22.58 m
5. h_max = 54.73 m
6. d = 64.04 m

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