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 12 m/s speeds up with a constant acceleration of 1.5 m/s² for 10 s. How far does it travel in that time? Find s.

v₀ = 12 m/sa = 1.5 m/s²t = 10 s

s = m

2.Easy

A car moving at 10 m/s speeds up with a constant acceleration of 1.5 m/s² for 6 s. How far does it travel in that time? Find s.

v₀ = 10 m/sa = 1.5 m/s²t = 6 s

s = m

3.Medium

A plane needs a speed of 300 km/h to take off and the usable runway is 1000 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 300 km/hs = 1000 m

a = m/s²

4.Medium

A car speeding at a constant 31 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 5.5 m/s². How long does it take the police car to catch up? Find t.

v_car = 31 m/sa_police = 5.5 m/s²v_0,police = 0

t = s

5.Hard

Ball A is dropped from rest from a height of 45 m. At the same instant ball B is thrown straight up from the ground directly below at 23 m/s. Ignore air resistance and use g = 9.81 m/s². At what height y above the ground do they meet?

H = 45 mv_0B = 23 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 36 m/s² for 1.5 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 = 1.5 sg = 9.81 m/s²

h_max = m

Answer key

1. s = 195 m
2. s = 87 m
3. a = 3.472 m/s²
4. t = 11.27 s
5. y = 26.22 m
6. h_max = 189.1 m

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