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 = 60 m

A stone is dropped from rest from a bridge 60 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 = 60 mg = 9.81 m/s²
t = s
2.Easy
t (s)v (m/s)10 s24.5

A car speeds up uniformly from 2 m/s to 24.5 m/s in 10 s. Find the acceleration a.

v₀ = 2 m/sv = 24.5 m/st = 10 s
a = m/s²
3.Medium
t (s)v (m/s)t = ?13.89

A car driving at 50 km/h brakes with a constant deceleration of 7 m/s² until it stops. How long does braking take? Find t.

v₀ = 50 km/ha = −7 m/s²v = 0
t = s
4.Medium
a = ?s = 1200 m

A plane needs a speed of 300 km/h to take off and the usable runway is 1200 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 300 km/hs = 1200 m
a = m/s²
5.Hard
v₀ = 16 m/s15 m

A ball is thrown straight up at 16 m/s from the edge of a roof 15 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 16 m/sh₀ = 15 mg = 9.81 m/s²
hmax = m
6.Hard
v₀ = 12 m/s35 m

A ball is thrown straight up at 12 m/s from the edge of a roof 35 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 = 12 m/sh₀ = 35 mg = 9.81 m/s²
t = s

Answer key

  1. 1. t = 3.497 s
  2. 2. a = 2.25 m/s²
  3. 3. t = 1.984 s
  4. 4. a = 2.894 m/s²
  5. 5. hmax = 28.05 m
  6. 6. t = 4.161 s

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