A ball is thrown from a point `O` aiming a target at angle `37^(@)` with the horizontal so that the ball hits the target at `C` but the ball hits at point `D`, a vertical distance `y_(0)` below `C`. If the initial velocity of the ball is `10 m//s` and the horizontal distance between `O` and `C` is `5 m`. Find `y_(0)`.

Explanation

In moving horizontal distance `5 m`, the ball will fall by distance `(1)/(2)g t^(2)`
`5 = 10 cos 37^(@) t = 10 xx (4)/(5)t rArr t = (25)/(40) = (5)/(8)s`
`CD = y_(0) = (1)/(2)g t^(2) = (1)/(2) xx 10 ((5)/(8))^(2) = (125)/(64) = 19.5 m`