Suppose an object with mass m is projected with initial velocity v 0 along the horizontal direction. Assume quadratic air resistance of the form F drag = αv^2 , where F drag is the magnitude of the drag force. Find an expression for the

velocity v as a function of time.

Here's what I have so far:

ma = αv^2

m(dv/dt) = αv^2

(dv/dt) =( αv^2/m)

v(t) = integral of (( αv^2/m))

Am I on the right track here? Can someone help me finish this problem.