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
v0​ = 18 m/s20°t = ?

A ball is kicked from level ground at 18 m/s and 20° 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 = 20°g = 9.81 m/s²
t = s
2.Easy
h = 30 mv0​ = 7 m/srange

A ball is launched horizontally from the top of a 30 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 7 m/sθ = 0°h = 30 mg = 9.81 m/s²
t = s
3.Medium
v0​ = 18 m/sθ = ?R = 15 m

A ball is launched from level ground at 18 m/s and must land 15 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 18 m/sR = 15 mg = 9.81 m/s²
θ = °
4.Medium
44 my = ?v0​ = 24 m/s55°

A ball is kicked from level ground at 24 m/s and 55° above the horizontal towards a wall 44 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 24 m/sθ = 55°x = 44 mg = 9.81 m/s²
y = m
5.Hard
18 mv0​ = 27 m/s65°x = ?

A ball is thrown from ground level at 27 m/s and 65° above the horizontal. It lands on the flat roof of a building 18 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 = 27 m/sθ = 65°hroof = 18 mg = 9.81 m/s²
x = m
6.Hard
h = 20 mv0​ = 24 m/s40°α = ?

A ball is launched at 24 m/s and 40° above the horizontal from the top of a 20 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 = 24 m/sθ = 40°h = 20 mg = 9.81 m/s²
α = °

Answer key

  1. 1. t = 0.6276 s
  2. 2. t = 2.473 s
  3. 3. θ = 13.51 °
  4. 4. y = 12.73 m
  5. 5. x = 46.69 m
  6. 6. α = 53.79 °

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