A particle of mass m moves on the positive x-axis, beneath the influence of the conservative force having potential energy:
V(x) = V0 e-ax.
(i) Illustrate the force in words.
(ii) Assume that the initial position is x = 0 and the initial velocity is v = 0, at time t=0. Then evaluate the position x(t) as a function of time. Illustrate your work.
(iii) Evaluate the time when ax = 1.0.