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 launched horizontally from the top of an 80 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 24 m/sθ = 0°h = 80 mg = 9.81 m/s²

t = s

2.Easy

A ball is launched horizontally from the top of a 70 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 10 m/sθ = 0°h = 70 mg = 9.81 m/s²

x = m

3.Medium

A ball is kicked from level ground at 38 m/s and 45° above the horizontal towards a wall 88 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 38 m/sθ = 45°x = 88 mg = 9.81 m/s²

y = m

4.Medium

A ball is kicked from level ground at 24 m/s and 60° above the horizontal towards a wall 41 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 24 m/sθ = 60°x = 41 mg = 9.81 m/s²

y = m

5.Hard

A ball is launched at 45° above horizontal from the top of a 20 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 24 m/sθ = 45°h = 20 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 19 m/s and 50° above the horizontal from the top of a 45 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the greatest height H above the ground at the foot of the cliff.

v₀ = 19 m/sθ = 50°h = 45 mg = 9.81 m/s²

H = m

Answer key

1. t = 4.039 s
2. x = 37.78 m
3. y = 35.39 m
4. y = 13.76 m
5. x = 74.48 m
6. H = 55.8 m

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