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A ball is thrown from the ground into ai...

A ball is thrown from the ground into air. AT a height of ` 9.0 m`, the velocity is observed to be ` vec v = 7.0 hat i+ 6.0 hat j`. Find the maximum height to which the ball will rise. ` g= 10 ,s^(-2)`.

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The correct Answer is:
11

Velocity at ` a = ( 7 6hat(i) + 6 . 1 hat(j))`
`:.` Initial vertical velocity at ` A = ( 6 . 1) hat(j) m//s ` Find vertical velocity at B = 0
Using ` v^(2) = u^(2) = 2as` (between A and B)
`rArr 0 = (6.1) 2 + 2 ( - 10) ( + h)`
`rArr h = 1.86 m`
`:.` maximum height attained by ball
`= 9.1 + 1.86 = 10.96 m ~~ 11 m `
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