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.

New worksheetPractise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
t (s)v (m/s)12 sv = ?

A car moving at 4 m/s speeds up with a constant acceleration of 0.5 m/s² for 12 s. Find its final speed v.

v₀ = 4 m/sa = 0.5 m/s²t = 12 s
v = m/s
2.Easy
t (s)v (m/s)9 s6

A train slows down uniformly from 24 m/s to 6 m/s in 9 s. How far does it travel in that time? Find s.

v₀ = 24 m/sv = 6 m/st = 9 s
s = m
3.Medium
t (s)v (m/s)1.2 s25

A driver moving at 90 km/h sees an obstacle. Her reaction time is 1.2 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 = 90 km/htr = 1.2 sa = −8 m/s²
d = m
4.Medium
t (s)v (m/s)3.419 s22.22

A car driving at 80 km/h brakes with a constant deceleration of 6.5 m/s² until it stops. Find the braking distance s.

v₀ = 80 km/ha = −6.5 m/s²v = 0
s = m
5.Hard
v₀ = 18 m/s30 m

A ball is thrown straight up at 18 m/s from the edge of a roof 30 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 = 30 mg = 9.81 m/s²
t = s
6.Hard
v₀ = 19 m/s35 m

A ball is thrown straight up at 19 m/s from the edge of a roof 35 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 19 m/sh₀ = 35 mg = 9.81 m/s²
hmax = m

Answer key

  1. 1. v = 10 m/s
  2. 2. s = 135 m
  3. 3. d = 69.06 m
  4. 4. s = 37.99 m
  5. 5. t = 4.914 s
  6. 6. hmax = 53.4 m

Full step-by-step solutions: practise this topic on examproblems.com.