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 0 m/s speeds up with a constant acceleration of 3.5 m/s² for 5 s. How far does it travel in that time? Find s.

v₀ = 0 m/sa = 3.5 m/s²t = 5 s

s = m

2.Easy

A car moving at 14 m/s speeds up with a constant acceleration of 1.5 m/s² for 5 s. Find its final speed v.

v₀ = 14 m/sa = 1.5 m/s²t = 5 s

v = m/s

3.Medium

A driver moving at 100 km/h sees an obstacle. Her reaction time is 0.9 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 = 100 km/ht_r = 0.9 sa = −6 m/s²

d = m

4.Medium

A car driving at 90 km/h brakes with a constant deceleration of 7 m/s² until it stops. Find the braking distance s.

v₀ = 90 km/ha = −7 m/s²v = 0

s = m

5.Hard

Ball A is dropped from rest from a height of 25 m. At the same instant ball B is thrown straight up from the ground directly below at 22 m/s. Ignore air resistance and use g = 9.81 m/s². At what height y above the ground do they meet?

H = 25 mv_0B = 22 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 26 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 = 26 m/s²t₁ = 3 sg = 9.81 m/s²

h_max = m

Answer key

1. s = 43.75 m
2. v = 21.5 m/s
3. d = 89.3 m
4. s = 44.64 m
5. y = 18.67 m
6. h_max = 427.1 m

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