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 = 60 mv0​ = 19 m/srange

A ball is launched horizontally from the top of a 60 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 19 m/sθ = 0°h = 60 mg = 9.81 m/s²
t = s
2.Easy
v0​ = 18 m/s30°t = ?

A ball is kicked from level ground at 18 m/s and 30° 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 = 18 m/sθ = 30°g = 9.81 m/s²
t = s
3.Medium
25 my = ?v0​ = 20 m/s60°

A ball is kicked from level ground at 20 m/s and 60° above the horizontal towards a wall 25 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 = 60°x = 25 mg = 9.81 m/s²
y = m
4.Medium
v0​ = 20 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 = 20 m/sθ = 55°g = 9.81 m/s²
t = s
5.Hard
5 mv0​ = 37 m/s40°x = ?

A ball is thrown from ground level at 37 m/s and 40° above the horizontal. It lands on the flat roof of a building 5 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 = 37 m/sθ = 40°hroof = 5 mg = 9.81 m/s²
x = m
6.Hard
22 mv0​ = 39 m/s40°x = ?

A ball is thrown from ground level at 39 m/s and 40° above the horizontal. It lands on the flat roof of a building 22 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 = 39 m/sθ = 40°hroof = 22 mg = 9.81 m/s²
x = m

Answer key

  1. 1. t = 3.497 s
  2. 2. t = 0.9174 s
  3. 3. y = 12.65 m
  4. 4. t = 3.34 s
  5. 5. x = 131.2 m
  6. 6. x = 119.1 m

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