A particle moves vertically under gravity and a retarding force proportional to the square of the velocity. If is its upward or downward speed and we know that , show that its position at time t is given by
I think it does. You basically have the tangent of a linear function of t. So the numerator looks like the derivative of the denominator. What does that give you?however from here taking the tangent of both sides does not leave anything readily integrable