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

v₀ = 9 m/sθ = 0°h = 35 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 = 13 m/sθ = 0°h = 45 mg = 9.81 m/s²

t = s

3.Medium

A ball is launched from level ground at 22 m/s and must land 25 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 22 m/sR = 25 mg = 9.81 m/s²

θ = °

4.Medium

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

v₀ = 28 m/sθ = 45°g = 9.81 m/s²

H = 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 = 10 m/sθ = 40°h = 5 mg = 9.81 m/s²

x = m

6.Hard

A ball is thrown from ground level at 32 m/s and 70° above the horizontal. It lands on the flat roof of a building 15 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 = 32 m/sθ = 70°h_roof = 15 mg = 9.81 m/s²

x = m

Answer key

1. x = 24.04 m
2. t = 3.029 s
3. θ = 15.22 °
4. H = 19.98 m
5. x = 14.24 m
6. x = 61.1 m

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