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 thrown horizontally at 21 m/s from the top of a 35 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 21 m/sh = 35 mg = 9.81 m/s²

v = m/s

2.Easy

A ball is kicked from level ground at 28 m/s and 30° 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 = 28 m/sθ = 30°g = 9.81 m/s²

t = s

3.Medium

A ball is launched from level ground at 36 m/s and must land 40 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 36 m/sR = 40 mg = 9.81 m/s²

θ = °

4.Medium

A ball is launched at 70° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 12 m/sθ = 70°g = 9.81 m/s²

x = m

5.Hard

A ball is launched at 25° above horizontal from the top of a 60 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 12 m/sθ = 25°h = 60 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 17 m/s and 40° above the horizontal from the top of a 35 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 17 m/sθ = 40°h = 35 mg = 9.81 m/s²

v = m/s

Answer key

1. v = 33.58 m/s
2. t = 1.427 s
3. θ = 8.812 °
4. x = 9.435 m
5. t = 4.052 s
6. v = 31.24 m/s

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