A golfer finds themselves in two different situations on different holes of a golf course. $($i$)$ On the first hole, the golfer is $120$ m from the hole and wants to hit the ball so that it lands $90$ m from its launching point and rolls $($after it lands onto the green$)$ for the remaining $30$m to reach the hole. They therefore aim their shot fairly low to the ground, so that the ball is launched at $3030$ above the horizontal. $($ii$)$ On the second hole, the golfer is $90$ m from the hole and wants to have the ball fly straight into the hole. In this case, they angle their shot at $7070$ above the horizontal. Assume that the entire golf course is completely flat, so that the ball always lands at the same height that is is launched from. find initial velocity for both