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 3.5 m/s² for 6 s. How far does it travel in that time? Find s.

v₀ = 0 m/sa = 3.5 m/s²t = 6 s

s = m

2.Easy

A train slows down uniformly from 10 m/s to 6 m/s in 6 s. How far does it travel in that time? Find s.

v₀ = 10 m/sv = 6 m/st = 6 s

s = m

3.Medium

A driver moving at 100 km/h sees an obstacle. Her reaction time is 1.3 s, after which the car brakes with a constant deceleration of 7.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 100 km/ht_r = 1.3 sa = −7.5 m/s²

d = m

4.Medium

A driver moving at 120 km/h sees an obstacle. Her reaction time is 0.5 s, after which the car brakes with a constant deceleration of 4.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 120 km/ht_r = 0.5 sa = −4.5 m/s²

d = m

5.Hard

A ball is thrown straight up at 15 m/s from the edge of a roof 25 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height h_max above the ground.

v₀ = 15 m/sh₀ = 25 mg = 9.81 m/s²

h_max = m

6.Hard

A tram starts from rest and accelerates at 3 m/s² for 9 s, then runs at constant speed for 12 s, and finally brakes at 5 m/s² until it stops. Find the total distance s between the two stops.

a₁ = 3 m/s²t₁ = 9 st₂ = 12 sa₃ = −5 m/s²

s = m

Answer key

1. s = 63 m
2. s = 48 m
3. d = 87.55 m
4. d = 140.1 m
5. h_max = 36.47 m
6. s = 518.4 m

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