1.Easy
A ball is launched horizontally from the top of a 30 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.
v0 = 21 m/sθ = 0°h = 30 mg = 9.81 m/s²
x = m
Projectile motion worksheet with answers
2.Easy
A ball is kicked from level ground at 36 m/s and 30° 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 = 36 m/sθ = 30°g = 9.81 m/s²
t = s
3.Medium
A ball is launched from level ground at 70° above the horizontal and lands 70 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.
θ = 70°R = 70 mg = 9.81 m/s²
v0 = m/s
4.Medium
A ball is kicked from level ground at 28 m/s and 30° above the horizontal towards a wall 28 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?
v₀ = 28 m/sθ = 30°x = 28 mg = 9.81 m/s²
y = m
5.Hard
A ball is thrown from ground level at 17 m/s and 50° above the horizontal. It lands on the flat roof of a building 4 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 = 17 m/sθ = 50°hroof = 4 mg = 9.81 m/s²
x = m
6.Hard
A ball is thrown from ground level at 29 m/s and 70° above the horizontal. It lands on the flat roof of a building 23 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 = 70°hroof = 23 mg = 9.81 m/s²
x = m
Answer key
- 1. x = 51.94 m
- 2. t = 1.835 s
- 3. v0 = 32.69 m/s
- 4. y = 9.626 m
- 5. x = 25.14 m
- 6. x = 44.81 m
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