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
t (s)v (m/s)11 s41.5

A car moving at 14 m/s speeds up with a constant acceleration of 2.5 m/s² for 11 s. How far does it travel in that time? Find s.

v₀ = 14 m/sa = 2.5 m/s²t = 11 s
s = m
2.Easy
h = 70 m

A stone is dropped from rest from a bridge 70 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 = 70 mg = 9.81 m/s²
t = s
3.Medium
policea = 4 m/s²car30 m/s

A car speeding at a constant 30 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 4 m/s². How far from its starting point does the police car catch up? Find d.

vcar = 30 m/sapolice = 4 m/s²v0,police = 0
d = m
4.Medium
t (s)v (m/s)6.25 s25

A car driving at 90 km/h brakes with a constant deceleration of 4 m/s² until it stops. Find the braking distance s.

v₀ = 90 km/ha = −4 m/s²v = 0
s = m
5.Hard
v₀ = 6 m/s15 m

A ball is thrown straight up at 6 m/s from the edge of a roof 15 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 = 6 m/sh₀ = 15 mg = 9.81 m/s²
t = s
6.Hard
t (s)v (m/s)8 s

A tram starts from rest and accelerates at 2 m/s² for 8 s, then runs at constant speed for 13 s, and finally brakes at 2 m/s² until it stops. Find the total distance s between the two stops.

a1 = 2 m/s²t1 = 8 st2 = 13 sa3 = −2 m/s²
s = m

Answer key

  1. 1. s = 305.3 m
  2. 2. t = 3.778 s
  3. 3. d = 450 m
  4. 4. s = 78.13 m
  5. 5. t = 2.464 s
  6. 6. s = 336 m

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