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

Distance in 1st 2 sec
Distance between 2 sec to 4 sec
`h_2 = 1/2 xx 10 xx (4)^2 - 20 = 60m`
Distance between 4 sec to 6 sec
`h_3 = 1/2 xx 10 xx (6)^2 - (20 + 60) = 100m`
`h_1 : h_2 : h_3 = 1:3:5`