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A ball is dropped from top of the buildi...

A ball is dropped from top of the building 100m high. Simultaneously another ball is thrown upwards from bottom of tower with such a velocity that the balls collide midway. What is the speed of 2nd ball ?

A

31.6 m/s

B

27.8 `ms^(-1)`

C

22.4 `ms^(-1)`

D

19.6 `ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
a
Time taken by Ist ball to fall through 50 m is
`t=sqrt((2xx50)/(10))`
`t=sqrt(10s)=3.16s`
Now durings this time 2 ball should cover disatnce 50 m
`:. 50 =uxx3.16-(1)/(2)xx10xx10impliesu=(100)/(3.16)=31.6ms^(-1)`
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