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 2 m/s speeds up with a constant acceleration of 2 m/s² for 9 s. Find its final speed v.

v₀ = 2 m/sa = 2 m/s²t = 9 s

v = m/s

2.Easy

A stone is dropped from rest from a bridge 5 m above the water. Ignore air resistance and use g = 9.81 m/s². Find its speed v just before it hits the water.

v₀ = 0h = 5 mg = 9.81 m/s²

v = m/s

3.Medium

A car speeding at a constant 15 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 3 m/s². How far from its starting point does the police car catch up? Find d.

v_car = 15 m/sa_police = 3 m/s²v_0,police = 0

d = m

4.Medium

A car speeding at a constant 33 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 2 m/s². How long does it take the police car to catch up? Find t.

v_car = 33 m/sa_police = 2 m/s²v_0,police = 0

t = s

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 15 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 = 15 m/sg = 9.81 m/s²

y = m

6.Hard

A tram starts from rest and accelerates at 2.5 m/s² for 5 s, then runs at constant speed for 29 s, and finally brakes at 2.5 m/s² until it stops. Find the total distance s between the two stops.

a₁ = 2.5 m/s²t₁ = 5 st₂ = 29 sa₃ = −2.5 m/s²

s = m

Answer key

1. v = 20 m/s
2. v = 9.905 m/s
3. d = 150 m
4. t = 33 s
5. y = 11.37 m
6. s = 425 m

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