Trajectory: integrating for position

[Oblio]

I actually did that FIRST, thinking I was doing part a, but I actually did b.

I think this question is basically done, I can show you my other section maybe?
They do basically match.

 

[learningphysics]

I actually did that FIRST, thinking I was doing part a, but I actually did b.

I think this question is basically done, I can show you my other section maybe?
They do basically match.

Sure... go ahead and show it.

 

[Oblio]

y= (v_{yo} + v_{ter}x) / v_{xo} + v_{ter}\tau ln (1 - x / v_{xo}\tau)

I'll skip a simplification step unless its needed: Used taylor's series which allowed cancellations.

y=v_{yo}x / v_{xo} - x^2v_{ter}\tau / 2v_{xo}^{2}\tau^{2}

 

[Oblio]

as usual subscripts are superscripts...

 

[learningphysics]

y= (v_{yo} + v_{ter}x) / v_{xo} + v_{ter}\tau ln (1 - x / v_{xo}\tau)

I'll skip a simplification step unless its needed: Used taylor's series which allowed cancellations.

y=v_{yo}x / v_{xo} - x^2v_{ter}\tau / 2v_{xo}^{2}\tau^{2}

Not sure if that's right or not... what is \tau ? I don't know the answer... if you want I can try to work it out to see if I get the same thing...