# Projection (duration, height and distance) Calculator

## 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 ] 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit Flight duration t sec Maximum height h Travel distance l
 $\normal Projection\\(1)\ l=v_x t={\large\frac{v^2\hspace1\sin{2\theta}}{g}},\hspace{20}v_x=vcos\theta\\(2)\ h={\large\frac{{v_y}^2}{2g}}={\large\frac{(v\sin{\theta})^2}{2g}},\hspace{20}v_y=vsin\theta\\(3)\ t=2{\large\frac{v_y}{g}}={\large\frac{2v\hspace1\sin\theta}{g}}\\$
Projection (duration, height and distance)
 [1-3] /3 Disp-Num5103050100200
[1]  2017/12/09 10:53   Male / Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
Just created this same thing on my TI-84 Plus (the difference is that mine runs an actual simulation that you can watch.) Was using this useful calculator to check my accuracy. If you were wondering, mine only does physics steps by 1/10 of a second, so my data is always a little bit higher (4% higher).
[2]  2012/02/29 04:58   Male / 30 years old level / A teacher / A researcher / Very /
Purpose of use
Learning of physics and math
[3]  2009/06/02 03:32   Male / 20 level / A university student / Very /
Purpose of use
The calculus for lab experiment
Comment/Request
Estremly usefull but it can be more usefull if the graphic can be interactive, I think it could be more helpfull.

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