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 = 35 mv0​ = 16 m/sv = ?

A ball is thrown horizontally at 16 m/s from the top of a 35 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 16 m/sh = 35 mg = 9.81 m/s²
v = m/s
2.Easy
h = 20 mv0​ = ?x = 21 m

A stone is thrown horizontally from the top of a 20 m high wall and lands 21 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 = 21 mg = 9.81 m/s²
v0 = m/s
3.Medium
v0​ = 10 m/s50°rangeH = ?

A ball is launched at 50° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v0 = 10 m/sθ = 50°g = 9.81 m/s²
H = m
4.Medium
v0​ = 36 m/sθ = ?R = 75 m

A ball is launched from level ground at 36 m/s and must land 75 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 = 75 mg = 9.81 m/s²
θ = °
5.Hard
21 mv0​ = 29 m/s65°x = ?

A ball is thrown from ground level at 29 m/s and 65° above the horizontal. It lands on the flat roof of a building 21 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 = 29 m/sθ = 65°hroof = 21 mg = 9.81 m/s²
x = m
6.Hard
2 mv0​ = 19 m/s65°x = ?

A ball is thrown from ground level at 19 m/s and 65° 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 = 65°hroof = 2 mg = 9.81 m/s²
x = m

Answer key

  1. 1. v = 30.7 m/s
  2. 2. v0 = 10.4 m/s
  3. 3. H = 2.991 m
  4. 4. θ = 17.3 °
  5. 5. x = 53.7 m
  6. 6. x = 27.22 m

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