Question

The displacement of a particle varies with time according to the relation x = k/b {1-e^(-bt)} then, find the velocity V of the particle

Answer 1

Dear student,
Velocity

$$\begin{gathered} v=\frac{dx}{dt}=\frac{d}{dt}\left(\frac{1}{b\left(1-e^{-bt}\right)}\right) \\ v=\frac{e^{-2bt}}{{\left(1-e^{-bt}\right)}^2} \end{gathered}$$
Regards