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A man drops a ball downside from the roo...

A man drops a ball downside from the roof of a tower of height `400` metres. At the same time another ball is thrown upside with a velocity `50 "meter"//sec` from the surface of the tower, then they will meet at which height from the surface of the tower.

A

100 meters

B

320 meters

C

80 meters

D

240 meters

Text Solution

Verified by Experts

The correct Answer is:
C
Let both balls meet at point P after time t.
The distance travelled by ball A, `h_1=(1)/(2)gt^2`
The distance travelled by ball B, `f_2=ut-(1)/(2)gt^2`
`h_1+h_2=400mimpliesut=400`,`t=(400)/(50)=8`sec
`h_1=320`m and `h_2=80`m
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