I have a moving Object.
- There are two general forces affecting the Objects movement:
--> The Objects own movement: ( Vi / Ln( D ) ) * ( D^T - 1 )
--> Wind: ( T / 2 ) * ( T - 1 ) * W
- The Object only moves in the horizontal direction, left or right, same with Wind.
( Time is Integer, all other values are potential floats )
So i now have an expression describing the Objects Total Movement:
( Vi / Ln( D ) ) * ( D^T - 1 ) + ( T / 2 ) * ( T - 1 ) * W
I want to know how far the Object moves before becomming lower or equal to Target Total Speed ( TTS )
( Vi / Ln( D ) ) * ( D^T - 1 ) + ( T / 2 ) * ( T - 1 ) * W < TTS
All values except Time ( T ) are known.
It is worth mentioning that there is generaly only a solution to this when Objects Initial Speed ( Vi ) and Wind Power ( W ) work in opposite directions ( +Vi -W or -Vi +W ).
What am i to do next, do i need to solve for X/ find Time before i can continue with this problem?
Am i on the right track here?
What is the next step?