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 = 75 mv0​ = 13 m/srange

A ball is launched horizontally from the top of a 75 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 13 m/sθ = 0°h = 75 mg = 9.81 m/s²
t = s
2.Easy
h = 70 mv0​ = ?x = 47 m

A stone is thrown horizontally from the top of a 70 m high wall and lands 47 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

h = 70 mx = 47 mg = 9.81 m/s²
v0 = m/s
3.Medium
v0​ = 12 m/s65°x = ?

A ball is launched at 65° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 12 m/sθ = 65°g = 9.81 m/s²
x = m
4.Medium
v0​ = 36 m/s40°range

A ball is launched at 40° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 36 m/sθ = 40°g = 9.81 m/s²
t = s
5.Hard
16 mv0​ = 34 m/s45°x = ?

A ball is thrown from ground level at 34 m/s and 45° above the horizontal. It lands on the flat roof of a building 16 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 = 45°hroof = 16 mg = 9.81 m/s²
x = m
6.Hard
h = 40 mv0​ = 29 m/s55°range

A ball is launched at 55° above horizontal from the top of a 40 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 29 m/sθ = 55°h = 40 mg = 9.81 m/s²
t = s

Answer key

  1. 1. t = 3.91 s
  2. 2. v0 = 12.44 m/s
  3. 3. x = 11.24 m
  4. 4. t = 4.718 s
  5. 5. x = 98.75 m
  6. 6. t = 6.166 s

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