Parabolic Motion with Elevation Difference (Calculated from Altitude and Distance)
This program calculates the initial velocity, launch angle, flight time, and other parameters when an object is launched from a point with an elevation difference without air resistance and reaches a certain altitude and distance.
If the landing point is higher than the launch point, set the elevation of the launch point to a negative value.
| Initial velocity Vs | m/s |
| = | km/h |
| Launch angle θs | ° |
| Time in the air t | seconds |
| Landing velocity Ve | m/s |
| = | km/h |
| Landing angle θe | ° |
| \(\normalsize Parabolic\ motion\ from\ elevation\\\\ (1)\ t={\large \frac{\sqrt{2g(h-h_0)}+\sqrt{2gh}}{g}}\\ (2)\ v_s=\sqrt{({\large\frac{l}{t})^2}+2g(h-h_0)}\\ \hspace{25px}\theta_s=\tan^{\tiny -1}\left({\large\frac{t\sqrt{2g(h-h_0)}}{l}}\right)\\ (3)\ v_e=\sqrt{({\large\frac{l}{t}})^2+2gh}\\ \hspace{25px}\theta_e=\tan^{\tiny -1}\left({\large\frac{t\sqrt{2gh}}{l}}\right)\) |
No customer feedback for this calculation yet.