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 worksheet Practise 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

A car moving at 16 m/s speeds up with a constant acceleration of 1.5 m/s² for 11 s. How far does it travel in that time? Find s.

v₀ = 16 m/sa = 1.5 m/s²t = 11 s

s = m

2.Easy

A car moving at 6 m/s speeds up with a constant acceleration of 1 m/s² for 4 s. How far does it travel in that time? Find s.

v₀ = 6 m/sa = 1 m/s²t = 4 s

s = m

3.Medium

A driver moving at 120 km/h sees an obstacle. Her reaction time is 1.2 s, after which the car brakes with a constant deceleration of 6.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 120 km/ht_r = 1.2 sa = −6.5 m/s²

d = m

4.Medium

A car speeding at a constant 31 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 3 m/s². How long does it take the police car to catch up? Find t.

v_car = 31 m/sa_police = 3 m/s²v_0,police = 0

t = s

5.Hard

A ball is thrown straight up at 20 m/s from the edge of a roof 5 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height h_max above the ground.

v₀ = 20 m/sh₀ = 5 mg = 9.81 m/s²

h_max = m

6.Hard

A tram starts from rest and accelerates at 1 m/s² for 9 s, then runs at constant speed for 6 s, and finally brakes at 4.5 m/s² until it stops. Find the total distance s between the two stops.

a₁ = 1 m/s²t₁ = 9 st₂ = 6 sa₃ = −4.5 m/s²

s = m

Answer key

1. s = 266.8 m
2. s = 32 m
3. d = 125.5 m
4. t = 20.67 s
5. h_max = 25.39 m
6. s = 103.5 m

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