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
v = ?h = 15 m

A stone is dropped from rest from a bridge 15 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 = 15 mg = 9.81 m/s²
v = m/s
2.Easy
t (s)v (m/s)12 s5

A train slows down uniformly from 21 m/s to 5 m/s in 12 s. How far does it travel in that time? Find s.

v₀ = 21 m/sv = 5 m/st = 12 s
s = m
3.Medium
a = ?s = 1600 m

A plane needs a speed of 250 km/h to take off and the usable runway is 1600 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 250 km/hs = 1600 m
a = m/s²
4.Medium
t (s)v (m/s)2.5 s10

A car driving at 36 km/h brakes with a constant deceleration of 4 m/s² until it stops. Find the braking distance s.

v₀ = 36 km/ha = −4 m/s²v = 0
s = m
5.Hard
v₀ = 10 m/s10 m

A ball is thrown straight up at 10 m/s from the edge of a roof 10 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 = 10 m/sh₀ = 10 mg = 9.81 m/s²
t = s
6.Hard
v₀ = 20 m/s35 m

A ball is thrown straight up at 20 m/s from the edge of a roof 35 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 = 20 m/sh₀ = 35 mg = 9.81 m/s²
t = s

Answer key

  1. 1. v = 17.16 m/s
  2. 2. s = 156 m
  3. 3. a = 1.507 m/s²
  4. 4. s = 12.5 m
  5. 5. t = 2.774 s
  6. 6. t = 5.399 s

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