The position of a paricle moving along `x-`axis depends on time as `x = 2(1 - e^(-31))`. Choose the correct statement(s).

Options

A. Total displacement of the particle is `2` units
B. Total distance covered by particle is `2` units.
C. Velocity of the particle will change its direction at some instant.
D. Velocity of particle will not change its direction throughout the motion.

Answer

A, B, D

Explanation

`x(0) = 0`
`X(t rarr oo) = 2`
`:.` Total displacement `= 2` units
`v = (dx)/(dt) = 6e^(-3t)` ltbr `v gt 0 AA t`
`:.` Displacement `=` Distance