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
v0​ = 32 m/s45°t = ?

A ball is kicked from level ground at 32 m/s and 45° above the horizontal. Ignore air resistance and use g = 9.81 m/s². How long t after the kick does it reach its highest point?

v₀ = 32 m/sθ = 45°g = 9.81 m/s²
t = s
2.Easy
h = 40 mv0​ = ?x = 55 m

A stone is thrown horizontally from the top of a 40 m high wall and lands 55 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

h = 40 mx = 55 mg = 9.81 m/s²
v0 = m/s
3.Medium
v0​ = 24 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 = 24 m/sθ = 40°g = 9.81 m/s²
x = m
4.Medium
v0​ = 26 m/sθ = ?R = 25 m

A ball is launched from level ground at 26 m/s and must land 25 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 26 m/sR = 25 mg = 9.81 m/s²
θ = °
5.Hard
7 mv0​ = 20 m/s65°x = ?

A ball is thrown from ground level at 20 m/s and 65° 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 = 20 m/sθ = 65°hroof = 7 mg = 9.81 m/s²
x = m
6.Hard
h = 5 mv0​ = 18 m/s45°v = ?

A ball is launched at 18 m/s and 45° above the horizontal from the top of a 5 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 18 m/sθ = 45°h = 5 mg = 9.81 m/s²
v = m/s

Answer key

  1. 1. t = 2.307 s
  2. 2. v0 = 19.26 m/s
  3. 3. x = 57.82 m
  4. 4. θ = 10.64 °
  5. 5. x = 27.53 m
  6. 6. v = 20.55 m/s

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