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 = 25 mv0​ = 8 m/sv = ?

A ball is thrown horizontally at 8 m/s from the top of a 25 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 8 m/sh = 25 mg = 9.81 m/s²
v = m/s
2.Easy
h = 30 mv0​ = 15 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 = 15 m/sθ = 0°h = 30 mg = 9.81 m/s²
t = s
3.Medium
13 my = ?v0​ = 18 m/s40°

A ball is kicked from level ground at 18 m/s and 40° above the horizontal towards a wall 13 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 18 m/sθ = 40°x = 13 mg = 9.81 m/s²
y = m
4.Medium
v0​ = 34 m/s20°rangeH = ?

A ball is launched at 20° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v0 = 34 m/sθ = 20°g = 9.81 m/s²
H = m
5.Hard
h = 55 mv0​ = 33 m/s20°α = ?

A ball is launched at 33 m/s and 20° above the horizontal from the top of a 55 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 = 33 m/sθ = 20°h = 55 mg = 9.81 m/s²
α = °
6.Hard
26 mv0​ = 40 m/s55°x = ?

A ball is thrown from ground level at 40 m/s and 55° above the horizontal. It lands on the flat roof of a building 26 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 = 40 m/sθ = 55°hroof = 26 mg = 9.81 m/s²
x = m

Answer key

  1. 1. v = 23.55 m/s
  2. 2. t = 2.473 s
  3. 3. y = 6.548 m
  4. 4. H = 6.892 m
  5. 5. α = 48.24 °
  6. 6. x = 132.1 m

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