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
v0​ = 10 m/s40°t = ?

A ball is kicked from level ground at 10 m/s and 40° 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 = 10 m/sθ = 40°g = 9.81 m/s²
t = s
2.Easy
h = 20 mv0​ = 12 m/sv = ?

A ball is thrown horizontally at 12 m/s from the top of a 20 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 12 m/sh = 20 mg = 9.81 m/s²
v = m/s
3.Medium
66 my = ?v0​ = 38 m/s20°

A ball is kicked from level ground at 38 m/s and 20° above the horizontal towards a wall 66 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 38 m/sθ = 20°x = 66 mg = 9.81 m/s²
y = m
4.Medium
v0​ = ?70°R = 50 m

A ball is launched from level ground at 70° above the horizontal and lands 50 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

θ = 70°R = 50 mg = 9.81 m/s²
v0 = m/s
5.Hard
8 mv0​ = 32 m/s60°x = ?

A ball is thrown from ground level at 32 m/s and 60° above the horizontal. It lands on the flat roof of a building 8 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 = 32 m/sθ = 60°hroof = 8 mg = 9.81 m/s²
x = m
6.Hard
h = 50 mv0​ = 33 m/s35°x = ?

A ball is launched at 35° above horizontal from the top of a 50 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 33 m/sθ = 35°h = 50 mg = 9.81 m/s²
x = m

Answer key

  1. 1. t = 0.6552 s
  2. 2. v = 23.16 m/s
  3. 3. y = 7.265 m
  4. 4. v0 = 27.62 m/s
  5. 5. x = 85.52 m
  6. 6. x = 153 m

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