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 thrown horizontally at 13 m/s from the top of a 75 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 13 m/sh = 75 mg = 9.81 m/s²

v = m/s

2.Easy

A ball is launched horizontally from the top of a 40 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 23 m/sθ = 0°h = 40 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 65° above the horizontal and lands 60 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 65°R = 60 mg = 9.81 m/s²

v₀ = m/s

5.Hard

A ball is thrown from ground level at 15 m/s and 50° above the horizontal. It lands on the flat roof of a building 2 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 = 15 m/sθ = 50°h_roof = 2 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 55° above horizontal from the top of a 25 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 22 m/sθ = 55°h = 25 mg = 9.81 m/s²

x = m

Answer key

1. v = 40.5 m/s
2. x = 65.68 m
3. θ = 15.9 °
4. v₀ = 27.72 m/s
5. x = 20.76 m
6. x = 59.91 m

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