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Question

A ball is dropped from the top of a tower of height 100m. Simultaneously,another ball was thrown upward from the bottom of the tower with a speed of 50m/s0(g=10m/s^2). These two balls would cross each other after a time:

A
1 second
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B
2 seconds
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C
3 seconds
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D
4 seconds
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Solution

The correct option is B 2 seconds
Suppose they will cross each other after time t then the sum of the value of their displacement should be equal to height of tower.
Now displacement of first ball in time t is gt2/2
and for second ball it will be utgt2/2
adding them we will get ut which should be equal to 100meter
so t=2second.

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