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An object is dropped from a height h. Th...

An object is dropped from a height `h`. Then the distance travelled in times `t,2t,3t` are in the ratio.

A

`1 : 2 : 3`

B

`1 : 4 : 9`

C

`1 : 3 : 5`

D

`1 : 9 : 5`

Text Solution

Verified by Experts

The correct Answer is:
B
`s_1 = (1)/(2) g t^2`
`s_2 = (1)/(2) g(2t)^2 = 4 s_1`
`s_3 = (1)/(2) g(3t)^2 = 9 s_1`
`s_1 : s_2 : s_3 = s_1 : 4 s_1 : 9 s_1 = 1 : 4 : 9`.
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