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

v₀ = 15 m/sθ = 0°h = 45 mg = 9.81 m/s²

t = s

2.Easy

A ball is launched horizontally from the top of a 45 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 18 m/sθ = 0°h = 45 mg = 9.81 m/s²

x = m

3.Medium

A ball is kicked from level ground at 18 m/s and 30° above the horizontal towards a wall 23 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 18 m/sθ = 30°x = 23 mg = 9.81 m/s²

y = m

4.Medium

A ball is launched from level ground at 60° above the horizontal and lands 60 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 60°R = 60 mg = 9.81 m/s²

v₀ = m/s

5.Hard

A ball is launched at 21 m/s and 65° above the horizontal from the top of a 45 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 = 21 m/sθ = 65°h = 45 mg = 9.81 m/s²

H = m

6.Hard

A ball is launched at 40° 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 = 25 m/sθ = 40°h = 40 mg = 9.81 m/s²

x = m

Answer key

1. t = 3.029 s
2. x = 54.52 m
3. y = 2.601 m
4. v₀ = 26.07 m/s
5. H = 63.46 m
6. x = 94.42 m

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