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 0 m/s speeds up with a constant acceleration of 1 m/s² for 3 s. How far does it travel in that time? Find s.

v₀ = 0 m/sa = 1 m/s²t = 3 s

s = m

2.Easy

A stone is dropped from rest from a bridge 10 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 = 10 mg = 9.81 m/s²

v = m/s

3.Medium

A driver moving at 90 km/h sees an obstacle. Her reaction time is 0.7 s, after which the car brakes with a constant deceleration of 6 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 90 km/ht_r = 0.7 sa = −6 m/s²

d = m

4.Medium

A car speeding at a constant 28 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 5.5 m/s². How far from its starting point does the police car catch up? Find d.

v_car = 28 m/sa_police = 5.5 m/s²v_0,police = 0

d = m

5.Hard

A ball is thrown straight up at 8 m/s from the edge of a roof 35 m above the ground. Ignore air resistance and use g = 9.81 m/s². How long after the throw does it hit the ground? Find t.

v₀ = 8 m/sh₀ = 35 mg = 9.81 m/s²

t = s

6.Hard

A tram starts from rest and accelerates at 1.5 m/s² for 10 s, then runs at constant speed for 17 s, and finally brakes at 2.5 m/s² until it stops. Find the total distance s between the two stops.

a₁ = 1.5 m/s²t₁ = 10 st₂ = 17 sa₃ = −2.5 m/s²

s = m

Answer key

1. s = 4.5 m
2. v = 14.01 m/s
3. d = 69.58 m
4. d = 285.1 m
5. t = 3.608 s
6. s = 375 m

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