**1. Homework Statement**

We recently discussed a problem in class involving free fall and parachutes.One of the examples was to solve for the area of a parachute in drag,gravity,air density,mass and the speed at which the object deployed the parachute and the speed it hit the ground out. I'm pretty sure I know how to do the porlbem if I could only get past the first few steps. My guess is that I need to solve the following nonlinear ode:

__m (dV/dt) = mg-(1/2)(air density)(drag constant)(area parachute)(V)^2__i replaced the equation with something like this to simplify it:

**where k is all those constants**

*m (dV/dt) = mg-kV^2*now i'm familiar with seperable ode's and this is the form i obtained:

dV/dt = g-(k/m)V^2

from then on i am lost, i think i just need a bit of help onto the next step or two then i should be able to get the problem rolling. Any help or input would be greatly appreciated! Thank you.