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 = 20 mv0​ = ?x = 11 m

A stone is thrown horizontally from the top of a 20 m high wall and lands 11 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

h = 20 mx = 11 mg = 9.81 m/s²
v0 = m/s
2.Easy
h = 55 mv0​ = 11 m/srange

A ball is launched horizontally from the top of a 55 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 11 m/sθ = 0°h = 55 mg = 9.81 m/s²
t = s
3.Medium
18 my = ?v0​ = 24 m/s45°

A ball is kicked from level ground at 24 m/s and 45° above the horizontal towards a wall 18 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 = 45°x = 18 mg = 9.81 m/s²
y = m
4.Medium
79 my = ?v0​ = 38 m/s25°

A ball is kicked from level ground at 38 m/s and 25° above the horizontal towards a wall 79 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 38 m/sθ = 25°x = 79 mg = 9.81 m/s²
y = m
5.Hard
h = 55 mv0​ = 32 m/s20°range

A ball is launched at 20° above horizontal from the top of a 55 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 32 m/sθ = 20°h = 55 mg = 9.81 m/s²
t = s
6.Hard
2 mv0​ = 19 m/s45°x = ?

A ball is thrown from ground level at 19 m/s and 45° 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 = 19 m/sθ = 45°hroof = 2 mg = 9.81 m/s²
x = m

Answer key

  1. 1. v0 = 5.447 m/s
  2. 2. t = 3.349 s
  3. 3. y = 12.48 m
  4. 4. y = 11.03 m
  5. 5. t = 4.645 s
  6. 6. x = 34.68 m

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