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 = 11 m/sθ = 0°h = 70 mg = 9.81 m/s²

t = s

2.Easy

A ball is launched horizontally from the top of an 80 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 22 m/sθ = 0°h = 80 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched at 50° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 20 m/sθ = 50°g = 9.81 m/s²

x = m

4.Medium

A ball is kicked from level ground at 12 m/s and 30° above the horizontal towards a wall 5 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 12 m/sθ = 30°x = 5 mg = 9.81 m/s²

y = m

5.Hard

A ball is launched at 40° above horizontal from the top of a 5 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 18 m/sθ = 40°h = 5 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 15 m/s and 35° above the horizontal from the top of a 5 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 15 m/sθ = 35°h = 5 mg = 9.81 m/s²

v = m/s

Answer key

1. t = 3.778 s
2. x = 88.85 m
3. x = 40.16 m
4. y = 1.751 m
5. x = 37.67 m
6. v = 17.97 m/s

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