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)12 s22

A car moving at 4 m/s speeds up with a constant acceleration of 1.5 m/s² for 12 s. How far does it travel in that time? Find s.

v₀ = 4 m/sa = 1.5 m/s²t = 12 s
s = m
2.Easy
t (s)v (m/s)4 sv = ?

A car moving at 8 m/s speeds up with a constant acceleration of 1.5 m/s² for 4 s. Find its final speed v.

v₀ = 8 m/sa = 1.5 m/s²t = 4 s
v = m/s
3.Medium
t (s)v (m/s)1.5 s12.5

A driver moving at 45 km/h sees an obstacle. Her reaction time is 1.5 s, after which the car brakes with a constant deceleration of 7.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 45 km/htr = 1.5 sa = −7.5 m/s²
d = m
4.Medium
t (s)v (m/s)t = ?16.67

A car driving at 60 km/h brakes with a constant deceleration of 4.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 60 km/ha = −4.5 m/s²v = 0
t = s
5.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
6.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 1.6 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 = 1.6 svsound = 343 m/sg = 9.81 m/s²
d = m

Answer key

  1. 1. s = 156 m
  2. 2. v = 14 m/s
  3. 3. d = 29.17 m
  4. 4. t = 3.704 s
  5. 5. t = 4.161 s
  6. 6. d = 12.01 m

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