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A ball is thrown up it reaches a maximum...

A ball is thrown up it reaches a maximum height and then comes down. If `t_(1) `and `t_(2)(t_(2)gtt_(1))` are the times that the ball takes to be a particular height, then the time taken by the ball toreach the heighest point is

A

`t_(1)+t_(2)`

B

`t_(2)-t_(1)`

C

`(t_(2)-t_(1))/2`

D

`(t_(1)+t_(2))/2`

Text Solution

Verified by Experts

The correct Answer is:
D

`v=u-"gt"_(1)` 1
`-v=u-"gt"_(2)` .2
1 and 2 adding we get
`0=4u-g(t_(1)+t_(2))`
`u=g/2(t_(1)+t_(2))`…………3
Generally `v=u+at`
At highest point v=0`" "a=-g`
From eq 3 we get
`:.0=g/2(t_(1)+t_(2))-"gt"`
`:.t=((t_(1)+t_(2)))/2`
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