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)3 s12.5

A car speeds up uniformly from 5 m/s to 12.5 m/s in 3 s. Find the acceleration a.

v₀ = 5 m/sv = 12.5 m/st = 3 s
a = m/s²
2.Easy
t (s)v (m/s)7 sv = ?

A car moving at 10 m/s speeds up with a constant acceleration of 3.5 m/s² for 7 s. Find its final speed v.

v₀ = 10 m/sa = 3.5 m/s²t = 7 s
v = m/s
3.Medium
t (s)v (m/s)t = ?27.78

A car driving at 100 km/h brakes with a constant deceleration of 7 m/s² until it stops. How long does braking take? Find t.

v₀ = 100 km/ha = −7 m/s²v = 0
t = s
4.Medium
t (s)v (m/s)3.175 s22.22

A car driving at 80 km/h brakes with a constant deceleration of 7 m/s² until it stops. Find the braking distance s.

v₀ = 80 km/ha = −7 m/s²v = 0
s = m
5.Hard
AB: 17 m/s45 m

Ball A is dropped from rest from a height of 45 m. At the same instant ball B is thrown straight up from the ground directly below at 17 m/s. Ignore air resistance and use g = 9.81 m/s². When do the balls meet? Find t.

H = 45 mv0B = 17 m/sg = 9.81 m/s²
t = s
6.Hard
a = 22 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 22 m/s² for 1.5 s, after which the engine stops and the rocket moves freely. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax the rocket reaches.

a = 22 m/s²t1 = 1.5 sg = 9.81 m/s²
hmax = m

Answer key

  1. 1. a = 2.5 m/s²
  2. 2. v = 34.5 m/s
  3. 3. t = 3.968 s
  4. 4. s = 35.27 m
  5. 5. t = 2.647 s
  6. 6. hmax = 80.25 m

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