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​ = 9 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 = 9 m/sθ = 0°h = 55 mg = 9.81 m/s²
x = m
2.Easy
h = 10 mv0​ = ?x = 38 m

A stone is thrown horizontally from the top of a 10 m high wall and lands 38 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

h = 10 mx = 38 mg = 9.81 m/s²
v0 = m/s
3.Medium
v0​ = ?50°R = 105 m

A ball is launched from level ground at 50° above the horizontal and lands 105 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

θ = 50°R = 105 mg = 9.81 m/s²
v0 = m/s
4.Medium
v0​ = 20 m/s40°x = ?

A ball is launched at 40° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 20 m/sθ = 40°g = 9.81 m/s²
x = m
5.Hard
18 mv0​ = 33 m/s70°x = ?

A ball is thrown from ground level at 33 m/s and 70° above the horizontal. It lands on the flat roof of a building 18 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 = 33 m/sθ = 70°hroof = 18 mg = 9.81 m/s²
x = m
6.Hard
20 mv0​ = 36 m/s70°x = ?

A ball is thrown from ground level at 36 m/s and 70° above the horizontal. It lands on the flat roof of a building 20 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 = 36 m/sθ = 70°hroof = 20 mg = 9.81 m/s²
x = m

Answer key

  1. 1. x = 30.14 m
  2. 2. v0 = 26.61 m/s
  3. 3. v0 = 32.34 m/s
  4. 4. x = 40.16 m
  5. 5. x = 64.06 m
  6. 6. x = 76.88 m

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