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 s20.75

A car speeds up uniformly from 5 m/s to 20.75 m/s in 9 s. Find the acceleration a.

v₀ = 5 m/sv = 20.75 m/st = 9 s
a = m/s²
2.Easy
t (s)v (m/s)9 sv = ?

A car moving at 16 m/s speeds up with a constant acceleration of 4 m/s² for 9 s. Find its final speed v.

v₀ = 16 m/sa = 4 m/s²t = 9 s
v = m/s
3.Medium
a = ?s = 900 m

A plane needs a speed of 280 km/h to take off and the usable runway is 900 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 280 km/hs = 900 m
a = m/s²
4.Medium
t (s)v (m/s)0.5 s12.5

A driver moving at 45 km/h sees an obstacle. Her reaction time is 0.5 s, after which the car brakes with a constant deceleration of 5.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 45 km/htr = 0.5 sa = −5.5 m/s²
d = m
5.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 1.7 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 = 1.7 svsound = 343 m/sg = 9.81 m/s²
d = m
6.Hard
v₀ = 19 m/s5 m

A ball is thrown straight up at 19 m/s from the edge of a roof 5 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 = 19 m/sh₀ = 5 mg = 9.81 m/s²
t = s

Answer key

  1. 1. a = 1.75 m/s²
  2. 2. v = 52 m/s
  3. 3. a = 3.361 m/s²
  4. 4. d = 20.45 m
  5. 5. d = 13.53 m
  6. 6. t = 4.121 s

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