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During upwards and downwards journeys un...

During upwards and downwards journeys under gravity, a body passes through a point at 2 s and 14 s. The total height from ground is

A

4g

B

8g

C

16g

D

32g

Text Solution

Verified by Experts

The correct Answer is:
D
Difference in times for same height `(14 - 2) = 12s`
`therefore` Time for upwards journey to heighest point `= (12)/(2) = 6s`
`s = u t + (1)/(2) g t^(2)`
At the top, velocity = 0
Time for total journey `= 2 + 6 = 8s`
`therefore` Height `= (1)/(2)g xx (8)^(2) = 32 g`
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