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A ball is thrown with an initialy velocity `(a hat(i) + b hat(j)) m//s` from ground. Here we have choose y-axis along vertical and x-axis along horizontal direction. If the range of projectile is half the maximum height, then `b//a` is :

A

1

B

`(1)/(2)`

C

8

D

`(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
`R = (1)/(2) H_("max")`
`(2u^(2) sin theta cos theta)/(g) = (1)/(2) ((u^(2) sin^(2) theta)/(2g))`
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