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 train slows down uniformly from 20 m/s to 8 m/s in 20 s. How far does it travel in that time? Find s.

v₀ = 20 m/sv = 8 m/st = 20 s

s = m

2.Easy

A stone is dropped from rest from a bridge 20 m above the water. Ignore air resistance and use g = 9.81 m/s². How long does it take to reach the water? Find t.

v₀ = 0h = 20 mg = 9.81 m/s²

t = s

3.Medium

A car speeding at a constant 22 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 = 22 m/sa_police = 3 m/s²v_0,police = 0

t = s

4.Medium

A car driving at 80 km/h brakes with a constant deceleration of 5 m/s² until it stops. How long does braking take? Find t.

v₀ = 80 km/ha = −5 m/s²v = 0

t = s

5.Hard

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 26 m/s² for 1 s, after which the engine stops and the rocket moves freely. Ignore air resistance and use g = 9.81 m/s². Find the greatest height h_max the rocket reaches.

a = 26 m/s²t₁ = 1 sg = 9.81 m/s²

h_max = m

6.Hard

A tram starts from rest and accelerates at 2 m/s² for 10 s, then runs at constant speed for 13 s, and finally brakes at 2.5 m/s² until it stops. Find the total travel time t.

a₁ = 2 m/s²t₁ = 10 st₂ = 13 sa₃ = −2.5 m/s²

t = s

Answer key

1. s = 280 m
2. t = 2.019 s
3. t = 14.67 s
4. t = 4.444 s
5. h_max = 47.45 m
6. t = 31 s

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