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
h = 30 m

A stone is dropped from rest from a bridge 30 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 = 30 mg = 9.81 m/s²
t = s
2.Easy
t (s)v (m/s)3 s1.5

A car starts from rest and speeds up uniformly to 1.5 m/s in 3 s. Find the acceleration a.

v₀ = 0 m/sv = 1.5 m/st = 3 s
a = m/s²
3.Medium
policea = 5.5 m/s²car23 m/s

A car speeding at a constant 23 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.

vcar = 23 m/sapolice = 5.5 m/s²v0,police = 0
d = m
4.Medium
t (s)v (m/s)t = ?25

A car driving at 90 km/h brakes with a constant deceleration of 7.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 90 km/ha = −7.5 m/s²v = 0
t = s
5.Hard
v₀ = 15 m/s20 m

A ball is thrown straight up at 15 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 = 15 m/sh₀ = 20 mg = 9.81 m/s²
hmax = m
6.Hard
v₀ = 20 m/s20 m

A ball is thrown straight up at 20 m/s from the edge of a roof 20 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 = 20 m/sh₀ = 20 mg = 9.81 m/s²
t = s

Answer key

  1. 1. t = 2.473 s
  2. 2. a = 0.5 m/s²
  3. 3. d = 192.4 m
  4. 4. t = 3.333 s
  5. 5. hmax = 31.47 m
  6. 6. t = 4.908 s

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