# Projection (duration, height and distance)

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

Initial velocity v
 m/s km/h fps mph
Initial angle θ
 degree, 0≦θ≦90
[ Gravity g
 m/s2 ]

Flight duration t
 sec
Maximum height h
Travel distance l

 $\normal Projection\\(1)\ l=v_x t={\large\frac{v^2\hspace1\sin{2\theta}}{g}},\hspace{20}v_x=vcos\theta\\(2)\ h={\large\frac{{v_y}^2}{2g}}={\large\frac{(v\sin{\theta})^2}{2g}},\hspace{20}v_y=vsin\theta\\(3)\ t=2{\large\frac{v_y}{g}}={\large\frac{2v\hspace1\sin\theta}{g}}\\$

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