Projectile motion worksheet with answers

Free printable Projectile motion 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 ball is launched horizontally from the top of a 15 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 10 m/sθ = 0°h = 15 mg = 9.81 m/s²

x = m

2.Easy

A ball is launched horizontally from the top of a 45 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 13 m/sθ = 0°h = 45 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched from level ground at 32 m/s and must land 55 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 32 m/sR = 55 mg = 9.81 m/s²

θ = °

4.Medium

A ball is launched from level ground at 30° above the horizontal and lands 130 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 30°R = 130 mg = 9.81 m/s²

v₀ = m/s

5.Hard

A ball is thrown from ground level at 35 m/s and 65° above the horizontal. It lands on the flat roof of a building 21 m high, on its way down. Ignore air resistance and use g = 9.81 m/s². Find the horizontal distance x from the launch point to where it lands.

v₀ = 35 m/sθ = 65°h_roof = 21 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 12 m/s and 15° above the horizontal from the top of a 20 m cliff. Ignore air resistance and use g = 9.81 m/s². At what angle α below the horizontal does it hit the ground?

v₀ = 12 m/sθ = 15°h = 20 mg = 9.81 m/s²

α = °

Answer key

1. x = 17.49 m
2. x = 39.38 m
3. θ = 15.9 °
4. v₀ = 38.37 m/s
5. x = 84.58 m
6. α = 59.97 °

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