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Air offers a retardation of 6m//s^(2) to...

Air offers a retardation of `6m//s^(2)` to a particle. If it is projected vertically upwards with a speed of `96m//s` from ground then the time of flight is : `(g = 10 m//s^(2))`

A

`19.2s`

B

`12s`

C

`18s`

D

`24s`

Text Solution

Verified by Experts

The correct Answer is:
C

Air offers …………
Maximum height `= (u^(2))/(2(g+a)) = (96xx96)/(2xx16) = 288m`
Time of light `= sqrt((2H)/(g+a))+sqrt((2H)/(g-a))`
`= sqrt((2xx288)/(16)) + sqrt((2xx288)/(4))`
`= 6+12=18s`
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