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

v₀ = 14 m/sθ = 0°h = 70 mg = 9.81 m/s²

t = s

2.Easy

A stone is thrown horizontally from the top of a 25 m high wall and lands 37 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 25 mx = 37 mg = 9.81 m/s²

v₀ = m/s

3.Medium

A ball is launched from level ground at 40 m/s and must land 125 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 40 m/sR = 125 mg = 9.81 m/s²

θ = °

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 = 34 m/sθ = 45°g = 9.81 m/s²

t = s

5.Hard

A ball is thrown from ground level at 40 m/s and 65° 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 = 40 m/sθ = 65°h_roof = 15 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 35° above horizontal from the top of a 5 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 19 m/sθ = 35°h = 5 mg = 9.81 m/s²

t = s

Answer key

1. t = 3.778 s
2. v₀ = 16.39 m/s
3. θ = 25.02 °
4. t = 4.901 s
5. x = 117.5 m
6. t = 2.612 s

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