Velocity equation for quadratic drag, vertically thrown

[Hannibal123]

Homework Statement

I am having some trouble deriving this velocity equation. I the net force will be

[itеx] m * dv/dt = - mg - kv^2 [/itеx]

Because the object is moving upwards. At the time t=0 the velocity will be [itеx]v(0)=v_0[/itеx]

Homework Equations

The Attempt at a Solution

 

[ehild]

Have you studied differential equations? That is a first order-separable one.

ehild

 

[Chestermiller]

Try multiplying the numerator and denominator of the left hand side by v, and using dx = vdt.

 

[Hannibal123]

Have you studied differential equations? That is a first order-separable one.

ehild

I am familiar with diff equations of first order. However i can't see what kind it is?

 

[ehild]

It is a first order, separable one.

ehild