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 4 m/s speeds up with a constant acceleration of 2.5 m/s² for 4 s. How far does it travel in that time? Find s.

v₀ = 4 m/sa = 2.5 m/s²t = 4 s

s = m

2.Easy

A stone is dropped from rest from a bridge 20 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 = 20 mg = 9.81 m/s²

t = s

3.Medium

A plane needs a speed of 180 km/h to take off and the usable runway is 800 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 180 km/hs = 800 m

a = m/s²

4.Medium

A car speeding at a constant 23 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 = 23 m/sa_police = 5 m/s²v_0,police = 0

d = m

5.Hard

A tram starts from rest and accelerates at 2.5 m/s² for 9 s, then runs at constant speed for 23 s, and finally brakes at 4.5 m/s² until it stops. Find the total distance s between the two stops.

a₁ = 2.5 m/s²t₁ = 9 st₂ = 23 sa₃ = −4.5 m/s²

s = m

6.Hard

A ball is thrown straight up at 11 m/s from the edge of a roof 5 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height h_max above the ground.

v₀ = 11 m/sh₀ = 5 mg = 9.81 m/s²

h_max = m

Answer key

1. s = 36 m
2. t = 2.019 s
3. a = 1.563 m/s²
4. d = 211.6 m
5. s = 675 m
6. h_max = 11.17 m

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