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 = 5 mv0​ = 13 m/sx = ?

A ball is launched horizontally from the top of a 5 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 13 m/sθ = 0°h = 5 mg = 9.81 m/s²
x = m
2.Easy
h = 50 mv0​ = 11 m/sx = ?

A ball is launched horizontally from the top of a 50 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 11 m/sθ = 0°h = 50 mg = 9.81 m/s²
x = m
3.Medium
v0​ = 36 m/sθ = ?R = 80 m

A ball is launched from level ground at 36 m/s and must land 80 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 36 m/sR = 80 mg = 9.81 m/s²
θ = °
4.Medium
v0​ = 26 m/s25°x = ?

A ball is launched at 25° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 26 m/sθ = 25°g = 9.81 m/s²
x = m
5.Hard
2 mv0​ = 22 m/s70°x = ?

A ball is thrown from ground level at 22 m/s and 70° 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 = 22 m/sθ = 70°hroof = 2 mg = 9.81 m/s²
x = m
6.Hard
10 mv0​ = 25 m/s45°x = ?

A ball is thrown from ground level at 25 m/s and 45° above the horizontal. It lands on the flat roof of a building 10 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 = 25 m/sθ = 45°hroof = 10 mg = 9.81 m/s²
x = m

Answer key

  1. 1. x = 13.13 m
  2. 2. x = 35.12 m
  3. 3. θ = 18.63 °
  4. 4. x = 52.79 m
  5. 5. x = 30.97 m
  6. 6. x = 51.29 m

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