A body experiences acceleration for 6 seconds after starting from rest. If it travels a distance `x_1` in first 2 s, `x_2` in the next two s, and `x_3` in the last two s. then :

Options

A. `x_1 : x_2 : x_3 : =1:1:1`
B. `x_1 : x_2 : x_3 : =1:2:3`
C. `x_1 : x_2 : x_3 : =1:3:5`
D. `x_1 : x_2 : x_3 : =1:4:8`

Answer

c

Explanation

`x_1=ut+(1)/(2)at^(2) implies x_1(1)/(2)a.(2)^(2)`
`impliesx_1 =2a`
`x_1+x_2=(1)/(2)a(4)^(2)implies x_2+x_1=8a`
`x_1+x_2+x_3=(1)/(2)a(6)^(2)=18a`