resistance propotionell to the square of the velecito



A body move in Earth's gravity g=10.
The resistance is proportionell to the square of the velecito.

With units choisen to make the equation's look good:

v_x'=-00-v_x.|v|

v_y'=-10-v_y.|v|

x0=0 y0=0 v_x0 and v_y0 given.

v_x is velecito along the ground.
v_y is velecito up.

00 is gravity along the ground
-10 is gravity up.
|v| is the magnitude of the velecito.


I have made Numerical calculation in Excel and if
The beginning velecito is BIG >10^100.:
The orbit looks like:


/|
/ |
/ |
/ |
/ |
/_____|
ground

It confirms the medial theorys about projetile.
The resistance can have been BIGGER back in time.
And/or the earth gravity was lighter.



.



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