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

v₀ = 5 m/sθ = 0°h = 50 mg = 9.81 m/s²

t = s

2.Easy

A ball is kicked from level ground at 14 m/s and 50° 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 = 14 m/sθ = 50°g = 9.81 m/s²

t = s

3.Medium

A ball is launched from level ground at 75° above the horizontal and lands 150 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 75°R = 150 mg = 9.81 m/s²

v₀ = m/s

4.Medium

A ball is kicked from level ground at 26 m/s and 60° above the horizontal towards a wall 24 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 26 m/sθ = 60°x = 24 mg = 9.81 m/s²

y = m

5.Hard

A ball is launched at 18 m/s and 50° above the horizontal from the top of a 45 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 18 m/sθ = 50°h = 45 mg = 9.81 m/s²

v = m/s

6.Hard

A ball is launched at 31 m/s and 20° above the horizontal from the top of a 55 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the greatest height H above the ground at the foot of the cliff.

v₀ = 31 m/sθ = 20°h = 55 mg = 9.81 m/s²

H = m

Answer key

1. t = 3.193 s
2. t = 1.093 s
3. v₀ = 54.25 m/s
4. y = 24.85 m
5. v = 34.74 m/s
6. H = 60.73 m

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