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 stone is dropped from rest from a bridge 65 m above the water. Ignore air resistance and use g = 9.81 m/s². How long does it take to reach the water? Find t.

v₀ = 0h = 65 mg = 9.81 m/s²

t = s

2.Easy

A car moving at 4 m/s speeds up with a constant acceleration of 1 m/s² for 4 s. Find its final speed v.

v₀ = 4 m/sa = 1 m/s²t = 4 s

v = m/s

3.Medium

A plane needs a speed of 280 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 = 280 km/hs = 1000 m

a = m/s²

4.Medium

A car speeding at a constant 16 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 5 m/s². How far from its starting point does the police car catch up? Find d.

v_car = 16 m/sa_police = 5 m/s²v_0,police = 0

d = m

5.Hard

A tram starts from rest and accelerates at 1 m/s² for 12 s, then runs at constant speed for 19 s, and finally brakes at 5 m/s² until it stops. Find the total distance s between the two stops.

a₁ = 1 m/s²t₁ = 12 st₂ = 19 sa₃ = −5 m/s²

s = 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 2.5 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 = 28 m/s²t₁ = 2.5 sg = 9.81 m/s²

h_max = m

Answer key

1. t = 3.64 s
2. v = 8 m/s
3. a = 3.025 m/s²
4. d = 102.4 m
5. s = 314.4 m
6. h_max = 337.2 m

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