A rectangular tank is 39feet long, 25 feet wide 18 feet high there is 11 feet of water in the tank if a valve is open at the bottom it take 3.8 minutes for the tank to empty. What is the velocity in ft/m

1596.2 ft/m

Step-by-step explanation:

Data

Given that 60 seconds are equivalent to 1 minute:

g = 32.17 ft/s² * 60² s²/1 min² = 115812 ft/min²

From Bernoulli's theorem:

velocity = √(2gh)

velocity = √(2*115812*11)

velocity = 1596.2 ft/m

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50