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 75 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 6 m/sθ = 0°h = 75 mg = 9.81 m/s²

x = m

2.Easy

A ball is launched horizontally from the top of a 45 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 19 m/sθ = 0°h = 45 mg = 9.81 m/s²

t = s

3.Medium

A ball is launched at 45° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 30 m/sθ = 45°g = 9.81 m/s²

H = m

4.Medium

A ball is launched from level ground at 32 m/s and must land 90 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 32 m/sR = 90 mg = 9.81 m/s²

θ = °

5.Hard

A ball is thrown from ground level at 29 m/s and 65° above the horizontal. It lands on the flat roof of a building 19 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 = 29 m/sθ = 65°h_roof = 19 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 40° above horizontal from the top of a 45 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 27 m/sθ = 40°h = 45 mg = 9.81 m/s²

x = m

Answer key

1. x = 23.46 m
2. t = 3.029 s
3. H = 22.94 m
4. θ = 29.78 °
5. x = 55.12 m
6. x = 109.1 m

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