Question

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)`

Answer 1

Correct Answer - C
`R = (1)/(2) H_("max")`
`(2u^(2) sin theta cos theta)/(g) = (1)/(2) ((u^(2) sin^(2) theta)/(2g))`