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
h = 65 mv0​ = 10 m/sx = ?

A ball is launched horizontally from the top of a 65 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 10 m/sθ = 0°h = 65 mg = 9.81 m/s²
x = m
2.Easy
v0​ = 28 m/s60°t = ?

A ball is kicked from level ground at 28 m/s and 60° 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 = 28 m/sθ = 60°g = 9.81 m/s²
t = s
3.Medium
v0​ = 38 m/s65°range

A ball is launched at 65° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 38 m/sθ = 65°g = 9.81 m/s²
t = s
4.Medium
8 my = ?v0​ = 20 m/s45°

A ball is kicked from level ground at 20 m/s and 45° above the horizontal towards a wall 8 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 20 m/sθ = 45°x = 8 mg = 9.81 m/s²
y = m
5.Hard
11 mv0​ = 31 m/s55°x = ?

A ball is thrown from ground level at 31 m/s and 55° above the horizontal. It lands on the flat roof of a building 11 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 = 31 m/sθ = 55°hroof = 11 mg = 9.81 m/s²
x = m
6.Hard
h = 10 mv0​ = 22 m/s15°α = ?

A ball is launched at 22 m/s and 15° above the horizontal from the top of a 10 m cliff. Ignore air resistance and use g = 9.81 m/s². At what angle α below the horizontal does it hit the ground?

v₀ = 22 m/sθ = 15°h = 10 mg = 9.81 m/s²
α = °

Answer key

  1. 1. x = 36.4 m
  2. 2. t = 2.472 s
  3. 3. t = 7.021 s
  4. 4. y = 6.43 m
  5. 5. x = 83.57 m
  6. 6. α = 35.43 °

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