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 = 30 mv0​ = 12 m/sx = ?

A ball is launched horizontally from the top of a 30 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 12 m/sθ = 0°h = 30 mg = 9.81 m/s²
x = m
2.Easy
h = 20 mv0​ = 17 m/srange

A ball is launched horizontally from the top of a 20 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 17 m/sθ = 0°h = 20 mg = 9.81 m/s²
t = s
3.Medium
21 my = ?v0​ = 32 m/s50°

A ball is kicked from level ground at 32 m/s and 50° above the horizontal towards a wall 21 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 32 m/sθ = 50°x = 21 mg = 9.81 m/s²
y = m
4.Medium
v0​ = 16 m/s55°range

A ball is launched at 55° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 16 m/sθ = 55°g = 9.81 m/s²
t = s
5.Hard
6 mv0​ = 31 m/s60°x = ?

A ball is thrown from ground level at 31 m/s and 60° above the horizontal. It lands on the flat roof of a building 6 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 = 60°hroof = 6 mg = 9.81 m/s²
x = m
6.Hard
h = 5 mv0​ = 24 m/s55°range

A ball is launched at 55° above horizontal from the top of a 5 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 24 m/sθ = 55°h = 5 mg = 9.81 m/s²
t = s

Answer key

  1. 1. x = 29.68 m
  2. 2. t = 2.019 s
  3. 3. y = 19.91 m
  4. 4. t = 2.672 s
  5. 5. x = 81.22 m
  6. 6. t = 4.248 s

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