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 = 45 mv0​ = 13 m/srange

A ball is launched horizontally from the top of a 45 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 13 m/sθ = 0°h = 45 mg = 9.81 m/s²
t = s
2.Easy
v0​ = 26 m/s45°t = ?

A ball is kicked from level ground at 26 m/s and 45° 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 = 26 m/sθ = 45°g = 9.81 m/s²
t = s
3.Medium
73 my = ?v0​ = 32 m/s45°

A ball is kicked from level ground at 32 m/s and 45° above the horizontal towards a wall 73 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 = 45°x = 73 mg = 9.81 m/s²
y = m
4.Medium
v0​ = 40 m/sθ = ?R = 70 m

A ball is launched from level ground at 40 m/s and must land 70 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 40 m/sR = 70 mg = 9.81 m/s²
θ = °
5.Hard
h = 60 mv0​ = 11 m/s45°α = ?

A ball is launched at 11 m/s and 45° above the horizontal from the top of a 60 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 = 11 m/sθ = 45°h = 60 mg = 9.81 m/s²
α = °
6.Hard
15 mv0​ = 39 m/s70°x = ?

A ball is thrown from ground level at 39 m/s and 70° above the horizontal. It lands on the flat roof of a building 15 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 = 70°hroof = 15 mg = 9.81 m/s²
x = m

Answer key

  1. 1. t = 3.029 s
  2. 2. t = 1.874 s
  3. 3. y = 21.95 m
  4. 4. θ = 12.71 °
  5. 5. α = 77.53 °
  6. 6. x = 93.86 m

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