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

Answer

C

Explanation

( c) `y_1 = (u^2 sin^2 theta)/(2 g), y_2 =(u^2 sin^2(90^@ - theta))/(2 g) = (u^2 cos^2 theta)/(2 g)`
`rArr y_1 + y_2 = (u^2)/(2 g)`.