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

v₀ = 7 m/sθ = 0°h = 70 mg = 9.81 m/s²

t = s

2.Easy

A stone is thrown horizontally from the top of a 15 m high wall and lands 25 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 = 25 mg = 9.81 m/s²

v₀ = m/s

3.Medium

A ball is kicked from level ground at 30 m/s and 60° 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 = 60°x = 64 mg = 9.81 m/s²

y = m

4.Medium

A ball is launched at 30° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 12 m/sθ = 30°g = 9.81 m/s²

t = s

5.Hard

A ball is launched at 20° above horizontal from the top of a 40 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 10 m/sθ = 20°h = 40 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 20 m/s and 30° above the horizontal from the top of a 55 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 20 m/sθ = 30°h = 55 mg = 9.81 m/s²

v = m/s

Answer key

1. t = 3.778 s
2. v₀ = 14.3 m/s
3. y = 21.56 m
4. t = 1.223 s
5. x = 30.31 m
6. v = 38.46 m/s

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