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 speeds up uniformly from 8 m/s to 23.75 m/s in 9 s. Find the acceleration a.

v₀ = 8 m/sv = 23.75 m/st = 9 s

a = m/s²

2.Easy

A car moving at 16 m/s speeds up with a constant acceleration of 2 m/s² for 6 s. How far does it travel in that time? Find s.

v₀ = 16 m/sa = 2 m/s²t = 6 s

s = m

3.Medium

A car driving at 60 km/h brakes with a constant deceleration of 8 m/s² until it stops. How long does braking take? Find t.

v₀ = 60 km/ha = −8 m/s²v = 0

t = s

4.Medium

A driver moving at 54 km/h sees an obstacle. Her reaction time is 1.2 s, after which the car brakes with a constant deceleration of 6 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 54 km/ht_r = 1.2 sa = −6 m/s²

d = m

5.Hard

Ball A is dropped from rest from a height of 15 m. At the same instant ball B is thrown straight up from the ground directly below at 13 m/s. Ignore air resistance and use g = 9.81 m/s². At what height y above the ground do they meet?

H = 15 mv_0B = 13 m/sg = 9.81 m/s²

y = m

6.Hard

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 28 m/s² for 3 s, after which the engine stops and the rocket moves freely. Ignore air resistance and use g = 9.81 m/s². Find the greatest height h_max the rocket reaches.

a = 28 m/s²t₁ = 3 sg = 9.81 m/s²

h_max = m

Answer key

1. a = 1.75 m/s²
2. s = 132 m
3. t = 2.083 s
4. d = 36.75 m
5. y = 8.47 m
6. h_max = 485.6 m

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