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
v = ?h = 50 m

A stone is dropped from rest from a bridge 50 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 = 50 mg = 9.81 m/s²
v = m/s
2.Easy
t (s)v (m/s)17 s4

A train slows down uniformly from 24 m/s to 4 m/s in 17 s. How far does it travel in that time? Find s.

v₀ = 24 m/sv = 4 m/st = 17 s
s = m
3.Medium
t (s)v (m/s)0.6 s33.33

A driver moving at 120 km/h sees an obstacle. Her reaction time is 0.6 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 = 0.6 sa = −4.5 m/s²
d = m
4.Medium
t (s)v (m/s)3.571 s25

A car driving at 90 km/h brakes with a constant deceleration of 7 m/s² until it stops. Find the braking distance s.

v₀ = 90 km/ha = −7 m/s²v = 0
s = m
5.Hard
v₀ = 8 m/s5 m

A ball is thrown straight up at 8 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 = 8 m/sh₀ = 5 mg = 9.81 m/s²
t = s
6.Hard
v₀ = 14 m/s40 m

A ball is thrown straight up at 14 m/s from the edge of a roof 40 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 = 14 m/sh₀ = 40 mg = 9.81 m/s²
t = s

Answer key

  1. 1. v = 31.32 m/s
  2. 2. s = 238 m
  3. 3. d = 143.5 m
  4. 4. s = 44.64 m
  5. 5. t = 2.113 s
  6. 6. t = 4.62 s

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