The displacement x of a particle varies with time according to the relation `x=(a)/(b)(1-e^(-bt))`.Then

Options

A. At t= 1/6, the displacement of the particle in nearly (1/3) (a/b)
B. The velocity and acceleration of the particle at t= 0 are a and -ab respectively
C. Both 1 and 2
D. At t= 1/b, the displacement of the particle is (3/5) (a/b)

Answer

B