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 stone is thrown horizontally from the top of a 30 m high wall and lands 20 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 30 mx = 20 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A ball is kicked from level ground at 24 m/s and 35° 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 = 35°g = 9.81 m/s²

t = s

3.Medium

A ball is kicked from level ground at 30 m/s and 45° above the horizontal towards a wall 64 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 = 45°x = 64 mg = 9.81 m/s²

y = m

4.Medium

A ball is launched from level ground at 25° above the horizontal and lands 40 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 25°R = 40 mg = 9.81 m/s²

v₀ = m/s

5.Hard

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

v₀ = 14 m/sθ = 25°h = 55 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 25 m/s and 65° above the horizontal from the top of a 15 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 = 25 m/sθ = 65°h = 15 mg = 9.81 m/s²

H = m

Answer key

1. v₀ = 8.087 m/s
2. t = 1.403 s
3. y = 19.35 m
4. v₀ = 22.63 m/s
5. x = 50.82 m
6. H = 41.17 m

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