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 = 45 m

A stone is dropped from rest from a bridge 45 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 = 45 mg = 9.81 m/s²
t = s
2.Easy
t (s)v (m/s)10 sv = ?

A car moving at 0 m/s speeds up with a constant acceleration of 0.5 m/s² for 10 s. Find its final speed v.

v₀ = 0 m/sa = 0.5 m/s²t = 10 s
v = m/s
3.Medium
t (s)v (m/s)1.736 s13.89

A car driving at 50 km/h brakes with a constant deceleration of 8 m/s² until it stops. Find the braking distance s.

v₀ = 50 km/ha = −8 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)4.762 s33.33

A car driving at 120 km/h brakes with a constant deceleration of 7 m/s² until it stops. Find the braking distance s.

v₀ = 120 km/ha = −7 m/s²v = 0
s = m
5.Hard
v₀ = 15 m/s10 m

A ball is thrown straight up at 15 m/s from the edge of a roof 10 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 = 10 mg = 9.81 m/s²
hmax = m
6.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 3.4 s after the stone is released. The speed of sound is 343 m/s; ignore air resistance and use g = 9.81 m/s². Find the depth d of the well.

ttotal = 3.4 svsound = 343 m/sg = 9.81 m/s²
d = m

Answer key

  1. 1. t = 3.029 s
  2. 2. v = 5 m/s
  3. 3. s = 12.06 m
  4. 4. s = 79.37 m
  5. 5. hmax = 21.47 m
  6. 6. d = 51.78 m

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