- #1
Locrian
- 1,883
- 255
I'm missing something simple here:
[tex]\frac{d\mbox{v}}{d\mbox{t}} = g - k\mbox{v}^2[/tex]
I'm integrating from v=0 to v=v_t (where v_t is a known constant independant of velocity and time) and from t=0 to t=t_f, where t_f is the variable I wish to solve for in the end.
I'd rather not embarass myself by giving out the answer I produced. The actual answer has a hyperbolic tangent and I honestly am not sure how to get that. Could someone nudge me in the right direction?
[tex]\frac{d\mbox{v}}{d\mbox{t}} = g - k\mbox{v}^2[/tex]
I'm integrating from v=0 to v=v_t (where v_t is a known constant independant of velocity and time) and from t=0 to t=t_f, where t_f is the variable I wish to solve for in the end.
I'd rather not embarass myself by giving out the answer I produced. The actual answer has a hyperbolic tangent and I honestly am not sure how to get that. Could someone nudge me in the right direction?