Consider a high-rise building. Balloons are being released steadily from each floor of the building such that the balloon population at any elevation z is given by N = N o [1 + ( z/H )] where N o is...

Consider a high-rise building. Balloons are being released steadily from each floor of the building such that the balloon population at any elevation
z
is given by
N = N_o
[1 + (z/H)] where
N
_o
is the number of balloons released at the ground and H is the elevation of the last floor. Find the observed rate of change of the balloon population as seen by a) an observer on the first floor looking up and b) an observer traveling upward in a hot-air balloon at velocity
V
_o.