The physics
A projectile — a thrown ball, a water jet, a long jumper — follows a parabola because gravity only pulls vertically while horizontal motion continues unchanged.
Range of a ball thrown at 20 m/s and 30°
Answer: range = 35.32 m (max height 5.1 m, flight time 2.04 s).
What we know
- Launch speed: 20 m/s
- Launch angle: 30°
No air resistance, launched and landing at the same height.
Step by step
- Given
- v₀ = 20 m/s, θ = 30°
- Formula
- R = v₀² · sin(2θ) / g
- Substitute
- R = 20² × sin(2 × 30) / 9.80665
- Result
- R = 35.32 m
All results
| Range | 35.32 m |
|---|---|
| Max height | 5.1 m |
| Flight time | 2.04 s |
Open the projectile motion calculator with these numbers → and change any of them.