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)7 s40.5

A car moving at 16 m/s speeds up with a constant acceleration of 3.5 m/s² for 7 s. How far does it travel in that time? Find s.

v₀ = 16 m/sa = 3.5 m/s²t = 7 s
s = m
2.Easy
t (s)v (m/s)7 s9.5

A car speeds up uniformly from 6 m/s to 9.5 m/s in 7 s. Find the acceleration a.

v₀ = 6 m/sv = 9.5 m/st = 7 s
a = m/s²
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)1.4 s33.33

A driver moving at 120 km/h sees an obstacle. Her reaction time is 1.4 s, after which the car brakes with a constant deceleration of 4.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 120 km/htr = 1.4 sa = −4.5 m/s²
d = m
5.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 4.6 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 = 4.6 svsound = 343 m/sg = 9.81 m/s²
d = m
6.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 3.6 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 = 3.6 svsound = 343 m/sg = 9.81 m/s²
d = m

Answer key

  1. 1. s = 197.8 m
  2. 2. a = 0.5 m/s²
  3. 3. s = 12.06 m
  4. 4. d = 170.1 m
  5. 5. d = 92.03 m
  6. 6. d = 57.76 m

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