Question

A particle is moving along the x-axis so that its position at t ≥ 0 is given by s(t)=(t)In(2t). Find the acceleration of the particle when the velocity is first zero.

a)2e^2
b)2e
c)e
d)None of these

Any help is greatly appreciated

Answer 1

v =ds/dt =d/dt [t ln 2t ]

= t(2/2t) + ln 2t = ln 2t
This is undefined at t = 0

a = dv/dt = 1/t

I would pick none of above