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A body travelling with uniform accelerat...

A body travelling with uniform acceleration crosses two point `A` and `B` with velocities `20 m s^-1` and `30 m s^-1` respectively. The speed of the body at the mid-point of `A` and `B` is.

A

`25 ms^(-1)`

B

`25.5 ms^(-1)`

C

`24 ms^(-1)`

D

`10sqrt(6)ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
`(30)^(2)=(20)^(2)+2a(2s)` or `2as = 250`
Now, `upsilon^(2)=(u)^(2)+2as=upsilon^(2)=(20)^(2)+250`
`rArr upsilon^(2)=650`
`therefore upsilon=25.5 ms^(-1)`
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