Calculator
Example Data Table
Sample values for quick testing (no air drag).
| v0 (m/s) | θ (deg) | g (m/s²) | y0 (m) | t (s) | Vx (m/s) | Vy (m/s) | |v| (m/s) | x (m) | y (m) |
|---|---|---|---|---|---|---|---|---|---|
| 30 | 35 | 9.80665 | 0 | 2 | 24.57 | 10.52 | 26.73 | 49.14 | 21.83 |
| 20 | 50 | 9.81 | 1.5 | 1.2 | 12.86 | 7.33 | 14.81 | 15.43 | 12.57 |
| 45 | 20 | 9.81 | 0 | 3 | 42.29 | -7.26 | 42.91 | 126.87 | 6.70 |
Values are rounded for readability.
Formula Used
- vx = v0cosθ
- vy(t) = v0sinθ − g t
- |v| = √(vx2 + vy2)
- φ = atan2(vy, vx) (flight-path angle)
- x(t) = v0cosθ · t
- y(t) = y0 + v0sinθ · t − ½ g t²
- tpeak = (v0sinθ)/g
- ymax = y0 + (v02sin²θ)/(2g)
Range mode uses R = (v02 sin(2θ))/g with equal launch and landing heights.
How to Use
- Select a mode like velocity at time, distance, range, or peak height.
- Choose units for speed, distance, and gravity.
- Enter the angle, gravity, and initial height if needed.
- Set trajectory step and the end time option.
- Press Calculate and review results above the form.
- Export CSV or PDF to include the full table.