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 car moving at 16 m/s speeds up with a constant acceleration of 2 m/s² for 4 s. Find its final speed v.

v₀ = 16 m/sa = 2 m/s²t = 4 s

v = m/s

2.Easy

A car starts from rest and speeds up uniformly to 12.25 m/s in 7 s. Find the acceleration a.

v₀ = 0 m/sv = 12.25 m/st = 7 s

a = m/s²

3.Medium

A car speeding at a constant 15 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 4.5 m/s². How long does it take the police car to catch up? Find t.

v_car = 15 m/sa_police = 4.5 m/s²v_0,police = 0

t = s

4.Medium

A driver moving at 45 km/h sees an obstacle. Her reaction time is 0.9 s, after which the car brakes with a constant deceleration of 6.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 45 km/ht_r = 0.9 sa = −6.5 m/s²

d = m

5.Hard

A ball is thrown straight up at 11 m/s from the edge of a roof 15 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height h_max above the ground.

v₀ = 11 m/sh₀ = 15 mg = 9.81 m/s²

h_max = m

6.Hard

A ball is thrown straight up at 13 m/s from the edge of a roof 40 m above the ground. Ignore air resistance and use g = 9.81 m/s². How long after the throw does it hit the ground? Find t.

v₀ = 13 m/sh₀ = 40 mg = 9.81 m/s²

t = s

Answer key

1. v = 24 m/s
2. a = 1.75 m/s²
3. t = 6.667 s
4. d = 23.27 m
5. h_max = 21.17 m
6. t = 4.473 s

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