Question $5(15$ pts$)$: $-$ You stand at the top of a building and throw a water balloon at an angle of $60$ above the horizontal, off the side of the building. The balloon returns to the elevation from which it was released after $3\mathrm{.}0$ seconds. Then, after a total of ${5\mathrm{.}0}_{?}$ seconds after it was released it lands on the ground.

Assume no air resistance.

$($a$)$ What was the initial vertical velocity of the balloon?

$($b$)$ From what height above the ground was the balloon thrown? $198y_i=196m$

$($c$)$ How far away did the balloon land in the horizontal direction?

$73\mathrm{.}5$ m

known Junknown