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From a building two balls A and B are t...

From a building two balls `A` and `B` are thrown such that `A` is thrown upwards and `B` downwards ( both vertically with the same speed ). If `v_(A) and v_(B)` are their respective velocities on reaching the ground , then

A

`v_(B) gt v_(B)`

B

`v_(A) = v_(B)`

C

`v_(A) gt v_(B)`

D

their velocities depends on their masses

Text Solution

Verified by Experts

The correct Answer is:
B
From conservaiton of enegry, potential enegry at height `h`
`= K.E.` at ground
Therefore, at hieght `h, P.E.` of ball `A`
`P.E. = m_(A) gh`
`V_(A) = sqrt(2gh)`
Similarly, `V_(B) - sqrt(2gh)`
Therefore, `V_(A) = V_(B)`
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