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 16 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 = 16 m/sθ = 35°g = 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 = 6 m/sθ = 0°h = 80 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched from level ground at 35° above the horizontal and lands 100 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 35°R = 100 mg = 9.81 m/s²

v₀ = m/s

4.Medium

A ball is launched at 25° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 18 m/sθ = 25°g = 9.81 m/s²

t = s

5.Hard

A ball is launched at 31 m/s and 50° above the horizontal from the top of a 25 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 = 31 m/sθ = 50°h = 25 mg = 9.81 m/s²

H = m

6.Hard

A ball is launched at 15° above horizontal from the top of a 50 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 23 m/sθ = 15°h = 50 mg = 9.81 m/s²

x = m

Answer key

1. t = 0.9355 s
2. x = 24.23 m
3. v₀ = 32.31 m/s
4. t = 1.551 s
5. H = 53.74 m
6. x = 85.68 m

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