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 15 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 6 m/sθ = 0°h = 15 mg = 9.81 m/s²

t = s

2.Easy

A stone is thrown horizontally from the top of a 15 m high wall and lands 10 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 15 mx = 10 mg = 9.81 m/s²

v₀ = m/s

3.Medium

A ball is launched from level ground at 25° above the horizontal and lands 55 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 25°R = 55 mg = 9.81 m/s²

v₀ = m/s

4.Medium

A ball is launched at 50° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 26 m/sθ = 50°g = 9.81 m/s²

t = s

5.Hard

A ball is launched at 40° above horizontal from the top of a 55 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 34 m/sθ = 40°h = 55 mg = 9.81 m/s²

t = s

6.Hard

A ball is thrown from ground level at 30 m/s and 40° above the horizontal. It lands on the flat roof of a building 6 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 = 30 m/sθ = 40°h_roof = 6 mg = 9.81 m/s²

x = m

Answer key

1. t = 1.749 s
2. v₀ = 5.718 m/s
3. v₀ = 26.54 m/s
4. t = 4.061 s
5. t = 6.25 s
6. x = 82.52 m

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