A water balloon is observed to emerge from an open window of a gymnasium. The window is 9.5 m above the ground. Through miracles of technology (involving doppler radar and automated video analysis), it is determined that the balloon leaves the window with a speed of 12.5 m/s at an angle of 45∘
45
∘
relative to horizontal.
(A) How much time elapses from when the balloon is passing through the window to when it hits the ground? s
(B) How far from the wall does the balloon hit the ground? m

It is determined that someone within the gymnasium threw the balloon from the floor level of the gymnasium, which is level with the ground outside.
(C) Assuming the launch point is from the floor level, how far from the wall was the balloon launched? m