The object is subject to a friction force with magnitude \(\displaystyle F= bxv\) where b is positive constant, x is the space the object has travelled and \(\displaystyle v\) its speed.

a) Find the space the object travelled until it stops moving

b) Find the time it needs the ohject to stop moving.

The 1st question i did it. After

I found that \(\displaystyle x = \sqrt{ \frac{2mυ_0}{b}}

\) m the object will stop moving

Also i found that \(\displaystyle v=- \frac{bx^2}{2m}+ v_0\)

How i will find the time it need the object from stop moving?