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
v = ?h = 50 m

A stone is dropped from rest from a bridge 50 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 = 50 mg = 9.81 m/s²
v = m/s
2.Easy
t (s)v (m/s)4 s26

A car moving at 16 m/s speeds up with a constant acceleration of 2.5 m/s² for 4 s. How far does it travel in that time? Find s.

v₀ = 16 m/sa = 2.5 m/s²t = 4 s
s = m
3.Medium
t (s)v (m/s)t = ?15

A car driving at 54 km/h brakes with a constant deceleration of 5 m/s² until it stops. How long does braking take? Find t.

v₀ = 54 km/ha = −5 m/s²v = 0
t = s
4.Medium
policea = 3 m/s²car26 m/s

A car speeding at a constant 26 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 3 m/s². How long does it take the police car to catch up? Find t.

vcar = 26 m/sapolice = 3 m/s²v0,police = 0
t = s
5.Hard
v₀ = 11 m/s10 m

A ball is thrown straight up at 11 m/s from the edge of a roof 10 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 = 11 m/sh₀ = 10 mg = 9.81 m/s²
t = s
6.Hard
v₀ = 8 m/s5 m

A ball is thrown straight up at 8 m/s from the edge of a roof 5 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 = 5 mg = 9.81 m/s²
t = s

Answer key

  1. 1. v = 31.32 m/s
  2. 2. s = 84 m
  3. 3. t = 3 s
  4. 4. t = 17.33 s
  5. 5. t = 2.937 s
  6. 6. t = 2.113 s

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