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)4 sv = ?

A car moving at 10 m/s speeds up with a constant acceleration of 2.5 m/s² for 4 s. Find its final speed v.

v₀ = 10 m/sa = 2.5 m/s²t = 4 s
v = m/s
2.Easy
t (s)v (m/s)13 s11

A train slows down uniformly from 29 m/s to 11 m/s in 13 s. How far does it travel in that time? Find s.

v₀ = 29 m/sv = 11 m/st = 13 s
s = m
3.Medium
t (s)v (m/s)1 s16.67

A driver moving at 60 km/h sees an obstacle. Her reaction time is 1 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 = 60 km/htr = 1 sa = −7.5 m/s²
d = m
4.Medium
t (s)v (m/s)1.5 s13.89

A driver moving at 50 km/h sees an obstacle. Her reaction time is 1.5 s, after which the car brakes with a constant deceleration of 8 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 50 km/htr = 1.5 sa = −8 m/s²
d = m
5.Hard
v₀ = 18 m/s5 m

A ball is thrown straight up at 18 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 = 18 m/sh₀ = 5 mg = 9.81 m/s²
t = s
6.Hard
v₀ = 7 m/s15 m

A ball is thrown straight up at 7 m/s from the edge of a roof 15 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 7 m/sh₀ = 15 mg = 9.81 m/s²
hmax = m

Answer key

  1. 1. v = 20 m/s
  2. 2. s = 260 m
  3. 3. d = 35.19 m
  4. 4. d = 32.89 m
  5. 5. t = 3.929 s
  6. 6. hmax = 17.5 m

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