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 20 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 21 m/sθ = 0°h = 20 mg = 9.81 m/s²

x = m

2.Easy

A ball is launched horizontally from the top of a 75 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 18 m/sθ = 0°h = 75 mg = 9.81 m/s²

x = m

3.Medium

A ball is kicked from level ground at 32 m/s and 65° above the horizontal towards a wall 48 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 32 m/sθ = 65°x = 48 mg = 9.81 m/s²

y = m

4.Medium

A ball is kicked from level ground at 30 m/s and 55° above the horizontal towards a wall 69 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 = 55°x = 69 mg = 9.81 m/s²

y = m

5.Hard

A ball is launched at 10 m/s and 25° above the horizontal from the top of a 40 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 = 10 m/sθ = 25°h = 40 mg = 9.81 m/s²

H = m

6.Hard

A ball is launched at 35° above horizontal from the top of a 60 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 24 m/sθ = 35°h = 60 mg = 9.81 m/s²

t = s

Answer key

1. x = 42.4 m
2. x = 70.39 m
3. y = 41.15 m
4. y = 19.67 m
5. H = 40.91 m
6. t = 5.172 s

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