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A body thrown vertically upwards with an...

A body thrown vertically upwards with an initial valocity `u` reaches maximum height in 6 s. The ratio of the distances traveled by the body in the first second the seventh second is

A

`1:1`

B

`11:1`

C

`1:2`

D

`1:11`

Text Solution

Verified by Experts

The correct Answer is:
B
Time of ascent `(t) = u/g rArr u = 6 xx 10 = 60m//s`
distance travelled in nth second
`S_n = u - a/2 (2n-1)`
`S_1 = 60-g/2 = 55m`
`S_7 = g/2(2n - 1)`
Distance in 7th second will be equal to the distance in 1st second of vertical downward motion
`S_7 = S_1 = g/2 (2 -1 ) = 5m`
`S_1/S_7 = 55/5 = 11:1`
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