A body falls from a height `h = 200 m` (at New Delhi). The ratio of distance travelled in each `2 sec` during `t = 0` to `t = 6` seconds of the journey is.

Options

A. `1 : 4 : 9`
B. `1 : 2 : 4`
C. `1 : 3 : 5`
D. `1 : 2 :3`

Answer

C

Explanation

`h_(1)=(1)/(2)xx g xx(2)^(2)=2g`
`hArr h_(2)=(1)/(2)xx g xx(4)^(2)-2g=6g`
`h_(3)=(1)/(2)xx g xx(6)^(2)-8g=10 g`
`therefore h_(1): h_(2): h_(3)=1 : 3 : 5`