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 = 55 mv0​ = 5 m/sx = ?

A ball is launched horizontally from the top of a 55 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 5 m/sθ = 0°h = 55 mg = 9.81 m/s²
x = m
2.Easy
h = 25 mv0​ = 21 m/srange

A ball is launched horizontally from the top of a 25 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 21 m/sθ = 0°h = 25 mg = 9.81 m/s²
t = s
3.Medium
10 my = ?v0​ = 14 m/s60°

A ball is kicked from level ground at 14 m/s and 60° above the horizontal towards a wall 10 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 14 m/sθ = 60°x = 10 mg = 9.81 m/s²
y = m
4.Medium
v0​ = ?50°R = 90 m

A ball is launched from level ground at 50° above the horizontal and lands 90 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

θ = 50°R = 90 mg = 9.81 m/s²
v0 = m/s
5.Hard
h = 10 mv0​ = 22 m/s55°H = ?

A ball is launched at 22 m/s and 55° above the horizontal from the top of a 10 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the greatest height H above the ground at the foot of the cliff.

v₀ = 22 m/sθ = 55°h = 10 mg = 9.81 m/s²
H = m
6.Hard
2 mv0​ = 34 m/s55°x = ?

A ball is thrown from ground level at 34 m/s and 55° above the horizontal. It lands on the flat roof of a building 2 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 = 34 m/sθ = 55°hroof = 2 mg = 9.81 m/s²
x = m

Answer key

  1. 1. x = 16.74 m
  2. 2. t = 2.258 s
  3. 3. y = 7.31 m
  4. 4. v0 = 29.94 m/s
  5. 5. H = 26.55 m
  6. 6. x = 109.3 m

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