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 = 20 mv0​ = 25 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 = 25 m/sθ = 0°h = 20 mg = 9.81 m/s²
t = s
2.Easy
h = 60 mv0​ = 21 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 = 21 m/sθ = 0°h = 60 mg = 9.81 m/s²
t = s
3.Medium
v0​ = 28 m/sθ = ?R = 50 m

A ball is launched from level ground at 28 m/s and must land 50 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 28 m/sR = 50 mg = 9.81 m/s²
θ = °
4.Medium
36 my = ?v0​ = 32 m/s60°

A ball is kicked from level ground at 32 m/s and 60° above the horizontal towards a wall 36 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 = 60°x = 36 mg = 9.81 m/s²
y = m
5.Hard
8 mv0​ = 36 m/s45°x = ?

A ball is thrown from ground level at 36 m/s and 45° 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 = 36 m/sθ = 45°hroof = 8 mg = 9.81 m/s²
x = m
6.Hard
h = 5 mv0​ = 29 m/s40°α = ?

A ball is launched at 29 m/s and 40° above the horizontal from the top of a 5 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 = 29 m/sθ = 40°h = 5 mg = 9.81 m/s²
α = °

Answer key

  1. 1. t = 2.019 s
  2. 2. t = 3.497 s
  3. 3. θ = 19.36 °
  4. 4. y = 37.52 m
  5. 5. x = 123.6 m
  6. 6. α = 43.54 °

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