# Math Help - Differentiate a = - kv^2

1. ## Differentiate a = - kv^2

Hi everyone!

Can you please explain to me how to differentiate a = -kv2, where a is acceleration, v is velocity, and k is a constant.

I am supposed to differentiate with respect to t , to find v(t), so it is supposed to be a = dv/dt.

2. ## Re: Differentiate a = - kv^2

Originally Posted by Nora314
Hi everyone!

Can you please explain to me how to differentiate a = -kv2, where a is acceleration, v is velocity, and k is a constant.

I am supposed to differentiate with respect to t , to find v(t), so it is supposed to be a = dv/dt.

$\frac{d}{dt}\left(-k v^2\right)=-2kv\frac{dv}{dt}=-2k v(t)a(t)$