A particle of mass m is subject to a force that is proportional to the speed and pointed opposite to the direction of velocity: F = -bv, where b is a constant which takes only positive values. The direction of the velocity is along the positive x-axis. Write an expression for the position x at time t if the initial position is x0 at t = 0.

A particle of mass m is subject to a force that is proportional to the speed and pointed opposite to the direction of velocity: F = -bv, where b is a constant which takes only positive values. The direction of the velocity is along the positive x-axis. Write an expression for the position x at time t if the initial position is x0 at t = 0.