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 a 65 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 5 m/sθ = 0°h = 65 mg = 9.81 m/s²

t = s

2.Easy

A ball is kicked from level ground at 24 m/s and 55° 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 = 24 m/sθ = 55°g = 9.81 m/s²

t = s

3.Medium

A ball is kicked from level ground at 12 m/s and 60° above the horizontal towards a wall 10 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 12 m/sθ = 60°x = 10 mg = 9.81 m/s²

y = m

4.Medium

A ball is launched at 50° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 40 m/sθ = 50°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 24 m/s and 20° above the horizontal from the top of a 5 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 = 24 m/sθ = 20°h = 5 mg = 9.81 m/s²

H = m

6.Hard

A ball is launched at 50° above horizontal from the top of a 60 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 31 m/sθ = 50°h = 60 mg = 9.81 m/s²

x = m

Answer key

1. t = 3.64 s
2. t = 2.004 s
3. y = 3.696 m
4. H = 47.86 m
5. H = 8.434 m
6. x = 133 m

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