# 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/skm/hfpsmph Initial angle θs degree,  0≦θ≦90 Initial height h0 mft [ Gravity g m/s2 ] 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit Flight duration t sec Maximum height h Travel distance l Landing velocity ve = Landing angle θe degree
 $\normal Projection\ from\ elevation\\(1)\ h=h_0+{\large\frac{\left(v_s\sin\theta_s \right)^2}{2g}}\\(2)\ v_e=\sqrt{\left(v_s\cos\theta_s\right)^2 + 2gh}\\(3)\ \theta_e=\tan^{\tiny -1}\left({\large\frac{\sqrt{2gh}}{v_s\hspace1\cos\theta_s}}\right)\\(4)\ l={\large\frac{{v_s}^2\sin2\theta_s +{v_e}^2\sin2\theta_e}{2g}}\\$

Projection from elevation (height, distance, duration)
 [1-6] /6 Disp-Num5103050100200
[1]  2018/05/10 09:56   Male / 40 years old level / An office worker / A public employee / Useful /
Purpose of use
Figuring flight time and impact speed of a vehicle traveling off a cliff at a high rate of speed.
Comment/Request
The formula doesn''t account for objects with disproportionate weight for impact angle.
[2]  2017/03/31 22:40   Female / 20 years old level / High-school/ University/ Grad student / Useful /
Purpose of use
Free throws of objects
Comment/Request
Enable knots as speed unit
[3]  2014/12/08 07:57   Male / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Calculate the supposed distance I travelled after a car crash (I was going 45km/h in my bicycle when I jumped over a car which entered my road). Travelled distance by air about 12.5m, the rest I slid on the road (I finished all bloody, ugly scars in my face). Flight time 1s, I assure you it seemed much more.
[4]  2013/07/27 04:09   Male / 20 years old level / An office worker / A public employee / Very /
Purpose of use
Winning a bet about throwing a football off the roof
[5]  2012/10/10 02:02   Male / 30 years old level / An office worker / A public employee / A little /
Purpose of use
Determine the linear distance a person would travel if they were to jump from an SR71 at 25 mi up.
Comment/Request
Your program gave an approximation, but it needs to include the ability to add variables like drag, and account for terminal velocity. Ideally it would account for the change in the drag coefficient at different altitudes. You could also allow people to enter other factors like wind speed and direction and model the result in 3D.
[6]  2010/08/19 15:31   Male / 20 level / A researcher / Very /
Comment/Request
good, but need more functions in easy to find format

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