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 = 60 mv0​ = 19 m/sx = ?

A ball is launched horizontally from the top of a 60 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 19 m/sθ = 0°h = 60 mg = 9.81 m/s²
x = m
2.Easy
h = 5 mv0​ = ?x = 38 m

A stone is thrown horizontally from the top of a 5 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 = 5 mx = 38 mg = 9.81 m/s²
v0 = m/s
3.Medium
v0​ = 34 m/s35°range

A ball is launched at 35° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 34 m/sθ = 35°g = 9.81 m/s²
t = s
4.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 = °
5.Hard
18 mv0​ = 38 m/s45°x = ?

A ball is thrown from ground level at 38 m/s and 45° 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 = 38 m/sθ = 45°hroof = 18 mg = 9.81 m/s²
x = m
6.Hard
7 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 7 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 = 7 mg = 9.81 m/s²
x = m

Answer key

  1. 1. x = 66.45 m
  2. 2. v0 = 37.64 m/s
  3. 3. t = 3.976 s
  4. 4. θ = 18.63 °
  5. 5. x = 126.2 m
  6. 6. x = 82.29 m

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