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)9 s13

A car speeds up uniformly from 4 m/s to 13 m/s in 9 s. Find the acceleration a.

v₀ = 4 m/sv = 13 m/st = 9 s
a = m/s²
2.Easy
v = ?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. Find its speed v just before it hits the water.

v₀ = 0h = 30 mg = 9.81 m/s²
v = m/s
3.Medium
a = 3 m/s²s = 2000 m

A plane starts from rest and accelerates uniformly at 3 m/s² along a runway. Find its speed v after 2000 m.

v₀ = 0a = 3 m/s²s = 2000 m
v = m/s
4.Medium
t (s)v (m/s)7.407 s33.33

A car driving at 120 km/h brakes with a constant deceleration of 4.5 m/s² until it stops. Find the braking distance s.

v₀ = 120 km/ha = −4.5 m/s²v = 0
s = m
5.Hard
AB: 27 m/s50 m

Ball A is dropped from rest from a height of 50 m. At the same instant ball B is thrown straight up from the ground directly below at 27 m/s. Ignore air resistance and use g = 9.81 m/s². At what height y above the ground do they meet?

H = 50 mv0B = 27 m/sg = 9.81 m/s²
y = m
6.Hard
AB: 22 m/s55 m

Ball A is dropped from rest from a height of 55 m. At the same instant ball B is thrown straight up from the ground directly below at 22 m/s. Ignore air resistance and use g = 9.81 m/s². When do the balls meet? Find t.

H = 55 mv0B = 22 m/sg = 9.81 m/s²
t = s

Answer key

  1. 1. a = 1 m/s²
  2. 2. v = 24.26 m/s
  3. 3. v = 109.5 m/s
  4. 4. s = 123.5 m
  5. 5. y = 33.18 m
  6. 6. t = 2.5 s

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