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 10 m/s and 40° 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 = 10 m/sθ = 40°g = 9.81 m/s²

t = s

2.Easy

A stone is thrown horizontally from the top of a 15 m high wall and lands 47 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 15 mx = 47 mg = 9.81 m/s²

v₀ = m/s

3.Medium

A ball is launched from level ground at 50° above the horizontal and lands 10 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 50°R = 10 mg = 9.81 m/s²

v₀ = m/s

4.Medium

A ball is launched at 30° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 12 m/sθ = 30°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 33 m/s and 20° above the horizontal from the top of a 20 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 33 m/sθ = 20°h = 20 mg = 9.81 m/s²

v = m/s

6.Hard

A ball is launched at 30° 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 = 18 m/sθ = 30°h = 55 mg = 9.81 m/s²

x = m

Answer key

1. t = 0.6552 s
2. v₀ = 26.88 m/s
3. v₀ = 9.981 m/s
4. H = 1.835 m
5. v = 38.49 m/s
6. x = 68.42 m

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