# Projection (velocity, duration and height)

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

Initial angle θ
 degree, 0＜θ＜90
Travel distance l
 m ft
[ Gravity g
 m/s2 ]

Initial velocity v
=
Flight duration t
 sec
Maximum height h
 $\normal Projection\\(1)\ v=\sqrt{\large\frac{gl}{2sin\theta cos\theta}}\\(2)\ t={\large\frac{l}{vcos\theta}}\\(3)\ h={\large\frac{1}{2}}g{\large(\frac{t}{2})}^2={\large\frac{gt^2}{8}}\\$

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