A ball is thrown at different angles with the same speed `u` and from the same points and it has same range in both the cases. If `y_1 and y_2` be the heights attained in the two cases, then find the value of `y_1 + y_2`.

Options

A. `u^2/g`
B. `(2u^2)/g`
C. `u^2/(2g)`
D. `u^2/(4g)`

Answer

C

Explanation

The ball will have same horizontal range if the angle of projection are `theta and (90^@ - theta)`
`:.h_1=(u^2sin^2theta)/(2g) and h_2=(u^2sin^2 (90^@ theta))/(2g) = (u^2 cos^2 theta)/(2g)`
`:. h_(1)+h_(2) =(u^2)/(2g) (sin^(2) theta + cos ^(2) theta ) = u^2 /(2g)`