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)8 s28

A car moving at 12 m/s speeds up with a constant acceleration of 2 m/s² for 8 s. How far does it travel in that time? Find s.

v₀ = 12 m/sa = 2 m/s²t = 8 s
s = m
2.Easy
v = ?h = 55 m

A stone is dropped from rest from a bridge 55 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 = 55 mg = 9.81 m/s²
v = m/s
3.Medium
t (s)v (m/s)0.8 s12.5

A driver moving at 45 km/h sees an obstacle. Her reaction time is 0.8 s, after which the car brakes with a constant deceleration of 5.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 45 km/htr = 0.8 sa = −5.5 m/s²
d = m
4.Medium
a = ?s = 1600 m

A plane needs a speed of 300 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 = 300 km/hs = 1600 m
a = m/s²
5.Hard
t (s)v (m/s)6 s

A tram starts from rest and accelerates at 2.5 m/s² for 6 s, then runs at constant speed for 25 s, and finally brakes at 4 m/s² until it stops. Find the total travel time t.

a1 = 2.5 m/s²t1 = 6 st2 = 25 sa3 = −4 m/s²
t = s
6.Hard
v₀ = 10 m/s20 m

A ball is thrown straight up at 10 m/s from the edge of a roof 20 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 10 m/sh₀ = 20 mg = 9.81 m/s²
hmax = m

Answer key

  1. 1. s = 160 m
  2. 2. v = 32.85 m/s
  3. 3. d = 24.2 m
  4. 4. a = 2.17 m/s²
  5. 5. t = 34.75 s
  6. 6. hmax = 25.1 m

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