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 = 35 mv0​ = ?x = 46 m

A stone is thrown horizontally from the top of a 35 m high wall and lands 46 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

h = 35 mx = 46 mg = 9.81 m/s²
v0 = m/s
2.Easy
h = 45 mv0​ = 23 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 = 23 m/sθ = 0°h = 45 mg = 9.81 m/s²
t = s
3.Medium
v0​ = 22 m/s30°rangeH = ?

A ball is launched at 30° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v0 = 22 m/sθ = 30°g = 9.81 m/s²
H = m
4.Medium
37 my = ?v0​ = 36 m/s35°

A ball is kicked from level ground at 36 m/s and 35° above the horizontal towards a wall 37 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 36 m/sθ = 35°x = 37 mg = 9.81 m/s²
y = m
5.Hard
h = 15 mv0​ = 22 m/s45°x = ?

A ball is launched at 45° above horizontal from the top of a 15 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 22 m/sθ = 45°h = 15 mg = 9.81 m/s²
x = m
6.Hard
h = 20 mv0​ = 33 m/s20°x = ?

A ball is launched at 20° above horizontal from the top of a 20 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 33 m/sθ = 20°h = 20 mg = 9.81 m/s²
x = m

Answer key

  1. 1. v0 = 17.22 m/s
  2. 2. t = 3.029 s
  3. 3. H = 6.167 m
  4. 4. y = 18.19 m
  5. 5. x = 61.39 m
  6. 6. x = 107.7 m

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