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.

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1.Easy

A ball is kicked from level ground at 26 m/s and 65° above the horizontal. Ignore air resistance and use g = 9.81 m/s². How long t after the kick does it reach its highest point?

v₀ = 26 m/sθ = 65°g = 9.81 m/s²

t = s

2.Easy

A ball is thrown horizontally at 23 m/s from the top of a 5 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 23 m/sh = 5 mg = 9.81 m/s²

v = m/s

3.Medium

A ball is kicked from level ground at 30 m/s and 50° above the horizontal towards a wall 63 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 30 m/sθ = 50°x = 63 mg = 9.81 m/s²

y = m

4.Medium

A ball is kicked from level ground at 26 m/s and 60° above the horizontal towards a wall 18 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 26 m/sθ = 60°x = 18 mg = 9.81 m/s²

y = m

5.Hard

A ball is launched at 35° above horizontal from the top of a 25 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 14 m/sθ = 35°h = 25 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 19 m/s and 40° above the horizontal from the top of a 40 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 = 19 m/sθ = 40°h = 40 mg = 9.81 m/s²

α = °

Answer key

1. t = 2.402 s
2. v = 25.04 m/s
3. y = 22.73 m
4. y = 21.77 m
5. t = 3.22 s
6. α = 64.53 °

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