A body starts from rest and moves with constant acceleration for t s. It travels a distance `x_(1)` in first half of time and `x_(2)` in next half of time, then

Options

A. `x_(2) = x_(1)`
B. `x_(2) = 2x_(1)`
C. `x_(2) = 3x_(1)`
D. `x_(2) = 4x_(1)`

Answer

C

Explanation

`a = (x_(2) - x_(1))/(t^(2))` …..(1)
`x_(1) = (1)/(2) a t^(2)`
from eqn (1) `rArr a t^(2) = x_(2) - (1)/(2) a t^(2)`
`a t^(2) + (1)/(2) a t^(2) = x_(2)`
`(3)/(2)a t^(2) = x_(2)`
`3x_(1) = x_(2)`