For a bathtub with a rectangular base, Toricelli's Law implies that the height h of water in

Question:

For a bathtub with a rectangular base, Toricelli's Law implies that the height h of water in the tub t seconds after it begins draining is given by

Where l and w are the tub's length and width, d is the diameter of the drain, and h0 is the water's initial height. (All measurements are in inches.) You completely fill a tub with water. The tub is 60 inches long by 30 inches wide by 25 inches high and has a drain with a two-inch diameter.
(a) Find the time it takes for the tub to go from being full to half-full.
(b) Find the time it takes for the tub to go from being half-full to empty.
(c) Based on your results in parts (a) and (b), what general statement can you make about the speed at which the water drains?