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A body starts from rest and moves with c...

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

A

`x_2=x_1`

B

`x_2=2x_1`

C

`x_2=3x_1`

D

`x_2=4x_1`

Text Solution

Verified by Experts

The correct Answer is:
c

Let total time taken be 2t
`:. X_1=0+(1)/(2)at^2`
`x_1 +x_2 =0+(1)/(2)a(2t)^(2)`
`x_1+x_2 =2at^(2)`
`:.(2)-(1)` gives
`x_2 =(3)/(2) at^(2)`
`:. (x_2)/(x_1)=3`
`:. X_2 =3x_1`
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