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)10 sv = ?

A car moving at 8 m/s speeds up with a constant acceleration of 4 m/s² for 10 s. Find its final speed v.

v₀ = 8 m/sa = 4 m/s²t = 10 s
v = m/s
2.Easy
v = ?h = 30 m

A stone is dropped from rest from a bridge 30 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 = 30 mg = 9.81 m/s²
v = m/s
3.Medium
t (s)v (m/s)t = ?15

A car driving at 54 km/h brakes with a constant deceleration of 7 m/s² until it stops. How long does braking take? Find t.

v₀ = 54 km/ha = −7 m/s²v = 0
t = s
4.Medium
a = ?s = 1300 m

A plane needs a speed of 250 km/h to take off and the usable runway is 1300 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 250 km/hs = 1300 m
a = m/s²
5.Hard
v₀ = 8 m/s10 m

A ball is thrown straight up at 8 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 = 8 m/sh₀ = 10 mg = 9.81 m/s²
t = s
6.Hard
v₀ = 9 m/s30 m

A ball is thrown straight up at 9 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 = 9 m/sh₀ = 30 mg = 9.81 m/s²
t = s

Answer key

  1. 1. v = 48 m/s
  2. 2. v = 24.26 m/s
  3. 3. t = 2.143 s
  4. 4. a = 1.855 m/s²
  5. 5. t = 2.46 s
  6. 6. t = 3.555 s

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