Two balls are thrown simultaneously at two different angles so that both have equal ranges. If `H_(1)` and `H_(2)` be the maximum heights attained in two cases. Then the summation `H_(1)+H_(2)` is equal to

Options

A. `(v_(0)^(2))/(2g)`
B. `(v_(0)^(2))/g`
C. `(2v_(0)^(2))/g`
D. `(v_(0)^(2))/(4g)`

Answer

1

Explanation

`H_(1)+H_(2)=(v_(0)^(2))/(2g) (sin^(2) theta+cos^(2)theta)`
`rArr theta_(1)+theta_(2)=90^(@)=(v_(0)^(2))/(2g)`