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 0 m/s speeds up with a constant acceleration of 1 m/s² for 12 s. Find its final speed v.

v₀ = 0 m/sa = 1 m/s²t = 12 s
v = m/s
2.Easy
t (s)v (m/s)7 s13.5

A car speeds up uniformly from 10 m/s to 13.5 m/s in 7 s. Find the acceleration a.

v₀ = 10 m/sv = 13.5 m/st = 7 s
a = m/s²
3.Medium
t (s)v (m/s)1.3 s15

A driver moving at 54 km/h sees an obstacle. Her reaction time is 1.3 s, after which the car brakes with a constant deceleration of 4 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 54 km/htr = 1.3 sa = −4 m/s²
d = m
4.Medium
a = 4 m/s²s = 1800 m

A plane starts from rest and accelerates uniformly at 4 m/s² along a runway. Find its speed v after 1800 m.

v₀ = 0a = 4 m/s²s = 1800 m
v = m/s
5.Hard
v₀ = 13 m/s5 m

A ball is thrown straight up at 13 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 = 13 m/sh₀ = 5 mg = 9.81 m/s²
t = s
6.Hard
t (s)v (m/s)5 s

A tram starts from rest and accelerates at 1.5 m/s² for 5 s, then runs at constant speed for 20 s, and finally brakes at 4.5 m/s² until it stops. Find the total distance s between the two stops.

a1 = 1.5 m/s²t1 = 5 st2 = 20 sa3 = −4.5 m/s²
s = m

Answer key

  1. 1. v = 12 m/s
  2. 2. a = 0.5 m/s²
  3. 3. d = 47.63 m
  4. 4. v = 120 m/s
  5. 5. t = 2.991 s
  6. 6. s = 175 m

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