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 5 m/s to 15.5 m/s in 7 s. Find the acceleration a.

v₀ = 5 m/sv = 15.5 m/st = 7 s

a = m/s²

2.Easy

A car moving at 0 m/s speeds up with a constant acceleration of 4 m/s² for 3 s. How far does it travel in that time? Find s.

v₀ = 0 m/sa = 4 m/s²t = 3 s

s = m

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 4.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 90 km/ht_r = 1.2 sa = −4.5 m/s²

d = m

4.Medium

A plane needs a speed of 280 km/h to take off and the usable runway is 2100 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 280 km/hs = 2100 m

a = m/s²

5.Hard

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 36 m/s² for 1 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 = 36 m/s²t₁ = 1 sg = 9.81 m/s²

h_max = m

6.Hard

Ball A is dropped from rest from a height of 10 m. At the same instant ball B is thrown straight up from the ground directly below at 17 m/s. Ignore air resistance and use g = 9.81 m/s². At what height y above the ground do they meet?

H = 10 mv_0B = 17 m/sg = 9.81 m/s²

y = m

Answer key

1. a = 1.5 m/s²
2. s = 18 m
3. d = 99.44 m
4. a = 1.44 m/s²
5. h_max = 84.06 m
6. y = 8.303 m

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