The displacement x (in m ) and time t (in s) of a particle are connected by the relation `sqrt(t + 3 + x) = 2`, then:

Options

A. It is moving with uniform velocity
B. It is moving with uniform acceleration of `8 m//s^(2)` along x-axis.
C. It is at `x = 0` when `t = 0` sec
D. The dispacement of particle from `t = 0` to `t = 1//4` is 0`

Answer

A

Explanation

`t + 3 + x = 4`
`t + x = 1`
`1 + (dx)/(dt) = 0`
`v = -1 m//s`
`t = 0, x = 1`
`t = (1)/(4), x = 1 - (1)/(4) = (3)/(4)`
displacement `= Ax = (3)/(4) - 1 = (-1)/(4)m`