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 75 m high wall and lands 50 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 75 mx = 50 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A ball is kicked from level ground at 20 m/s and 35° above the horizontal. Ignore air resistance and use g = 9.81 m/s². How long t after the kick does it reach its highest point?

v₀ = 20 m/sθ = 35°g = 9.81 m/s²

t = s

3.Medium

A ball is kicked from level ground at 34 m/s and 20° above the horizontal towards a wall 61 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 34 m/sθ = 20°x = 61 mg = 9.81 m/s²

y = m

4.Medium

A ball is launched from level ground at 70° above the horizontal and lands 85 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 70°R = 85 mg = 9.81 m/s²

v₀ = m/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 = 18 m/sθ = 40°h = 55 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 60° above horizontal from the top of a 25 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 27 m/sθ = 60°h = 25 mg = 9.81 m/s²

x = m

Answer key

1. v₀ = 12.79 m/s
2. t = 1.169 s
3. y = 4.322 m
4. v₀ = 36.02 m/s
5. t = 4.73 s
6. x = 76.5 m

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