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A ball collides at B with velocity 10m//...

A ball collides at `B` with velocity `10m//s` at `30^(@)` with vertical. There is a flag at `A` and a will at `C`. Collision of ball with groundis perfectly inelastic `(e=0)` and that with wall is elastic `(e=1)`. Given `AB = BC=10 m`. Find the time after which ball will collide with the flag.

Text Solution

Verified by Experts

The correct Answer is:
6
After colliding with ground, horizontal component of velocity, i.e., `10 sin 30^(circ) = 5 m//s` will remain unchangedwhile its vertical component will become zero. Collision with wall is elastic.
Hence, it will only reverse the direction of velocity of ball, magnitude will remain unchanged,
i.e., `5m//s`. , Therefore
`t = (BC+CB+BA)/(V) = (30)/(5) = 6s`.
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