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)5 s21.5

A car moving at 14 m/s speeds up with a constant acceleration of 1.5 m/s² for 5 s. How far does it travel in that time? Find s.

v₀ = 14 m/sa = 1.5 m/s²t = 5 s
s = m
2.Easy
v = ?h = 35 m

A stone is dropped from rest from a bridge 35 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 = 35 mg = 9.81 m/s²
v = m/s
3.Medium
policea = 3.5 m/s²car32 m/s

A car speeding at a constant 32 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 3.5 m/s². How long does it take the police car to catch up? Find t.

vcar = 32 m/sapolice = 3.5 m/s²v0,police = 0
t = s
4.Medium
a = 3.5 m/s²s = 700 m

A plane starts from rest and accelerates uniformly at 3.5 m/s² along a runway. Find its speed v after 700 m.

v₀ = 0a = 3.5 m/s²s = 700 m
v = m/s
5.Hard
v₀ = 11 m/s20 m

A ball is thrown straight up at 11 m/s from the edge of a roof 20 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 11 m/sh₀ = 20 mg = 9.81 m/s²
hmax = m
6.Hard
t (s)v (m/s)7 s

A tram starts from rest and accelerates at 1.5 m/s² for 7 s, then runs at constant speed for 11 s, and finally brakes at 3.5 m/s² until it stops. Find the total distance s between the two stops.

a1 = 1.5 m/s²t1 = 7 st2 = 11 sa3 = −3.5 m/s²
s = m

Answer key

  1. 1. s = 88.75 m
  2. 2. v = 26.2 m/s
  3. 3. t = 18.29 s
  4. 4. v = 70 m/s
  5. 5. hmax = 26.17 m
  6. 6. s = 168 m

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