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 28 m/s and 25° 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 = 25°g = 9.81 m/s²

t = s

2.Easy

A ball is kicked from level ground at 18 m/s and 65° 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 = 18 m/sθ = 65°g = 9.81 m/s²

t = s

3.Medium

A ball is launched from level ground at 50° above the horizontal and lands 30 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 50°R = 30 mg = 9.81 m/s²

v₀ = m/s

4.Medium

A ball is launched at 45° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 16 m/sθ = 45°g = 9.81 m/s²

t = s

5.Hard

A ball is thrown from ground level at 37 m/s and 70° above the horizontal. It lands on the flat roof of a building 3 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 = 37 m/sθ = 70°h_roof = 3 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 20° above horizontal from the top of a 30 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 33 m/sθ = 20°h = 30 mg = 9.81 m/s²

x = m

Answer key

1. t = 1.206 s
2. t = 1.663 s
3. v₀ = 17.29 m/s
4. t = 2.307 s
5. x = 88.6 m
6. x = 120.3 m

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