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 40 m high wall and lands 11 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 40 mx = 11 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A ball is thrown horizontally at 16 m/s from the top of a 45 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 16 m/sh = 45 mg = 9.81 m/s²

v = m/s

3.Medium

A ball is kicked from level ground at 18 m/s and 55° above the horizontal towards a wall 22 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 18 m/sθ = 55°x = 22 mg = 9.81 m/s²

y = m

4.Medium

A ball is launched at 65° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 22 m/sθ = 65°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 15° above horizontal from the top of a 15 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 23 m/sθ = 15°h = 15 mg = 9.81 m/s²

x = m

6.Hard

A ball is thrown from ground level at 31 m/s and 65° above the horizontal. It lands on the flat roof of a building 20 m high, on its way down. Ignore air resistance and use g = 9.81 m/s². Find the horizontal distance x from the launch point to where it lands.

v₀ = 31 m/sθ = 65°h_roof = 20 mg = 9.81 m/s²

x = m

Answer key

1. v₀ = 3.852 m/s
2. v = 33.75 m/s
3. y = 9.147 m
4. H = 20.26 m
5. x = 54.6 m
6. x = 64.13 m

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