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 stone is thrown horizontally from the top of a 35 m high wall and lands 46 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 35 mx = 46 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A ball is launched horizontally from the top of a 10 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 21 m/sθ = 0°h = 10 mg = 9.81 m/s²

t = s

3.Medium

A ball is launched at 55° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 32 m/sθ = 55°g = 9.81 m/s²

t = s

4.Medium

A ball is launched from level ground at 70° above the horizontal and lands 45 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 70°R = 45 mg = 9.81 m/s²

v₀ = m/s

5.Hard

A ball is launched at 55° above horizontal 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 = 55°h = 45 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 60° above horizontal from the top of a 40 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 20 m/sθ = 60°h = 40 mg = 9.81 m/s²

x = m

Answer key

1. v₀ = 17.22 m/s
2. t = 1.428 s
3. t = 5.344 s
4. v₀ = 26.21 m/s
5. t = 5.006 s
6. x = 51.23 m

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