Question

$The \: motion \: of \: a \: body \: falling \: \\ from \: rest \: in \: a \: medium \: is \: given \: \\ by \: equation, \: \frac{dv}{dt} = 1 - 2v. \\ What \: will \: be \: the \: velocity \: at \: any \\ time \: t \: ?$

Answer 1

Hi,
Here is the answer to your query:-

$\textit{Velocity}$ is given by-
dv/(a-bv)=dt
Integrating both sides we get:
-ln(a-bv)/b=t
=> V=(a-e^-bt)/b
From equation,
a=1,b=2
putting the values,
V=(1-e^-bt) /2

$\bold{V=1/2(1-e^-2t)}$

⭐⭐✔$\bold{THANKS}$✔⭐⭐

Answer 2

$<b><i> check the attachment !!$

I think it will help you....