# Projection from elevation (height, distance, duration) Calculator

## Calculates the height, distance and duration of the projection from the initial height, velocity and angle.

 Initial height becomes negative if it is lower than landing point which is zero meter.
 Initial velocity vs m/s km/h fps mph Initial angle θs degree,  0≦θ≦90 Initial height h0 m ft [ Gravity g m/s2 ] 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt Flight duration t sec Maximum height h Travel distance l Landing velocity ve = Landing angle θe degree
 $\normal Projection\ from\ elevation\\(1)\ h=h_0+{\large\frac{\left(v_s\sin\theta_s \right)^2}{2g}}\\(2)\ v_e=\sqrt{\left(v_s\cos\theta_s\right)^2 + 2gh}\\(3)\ \theta_e=\tan^{\tiny -1}\left({\large\frac{\sqrt{2gh}}{v_s\hspace1\cos\theta_s}}\right)\\(4)\ l={\large\frac{{v_s}^2\sin2\theta_s +{v_e}^2\sin2\theta_e}{2g}}\\$

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