Answer:
(a) V(0) = 50 gal, V(20) = 0 gal
(b)At t= 0 the tank is full.
At t=0 the tank is empty
(c)
Time volume
0 50 gal
5 37.5 gal
10 25 gal
15 12.5 gal
20 0 gal
(d)
Net change of volume = 50 gal
Step-by-step explanation:
Given that the capacity of the tank is 50 gal.
Torricelli's Law gives the volume of water remaining in the tank after t minutes as
(a)
To find V(0), we put t = 0 in the above equation
= 50 gal
To find V(20), we put t =2 0 in the above equation
= 0 gal
(b)
At t= 0 the tank is full.
At t=0 the tank is empty.
(c)
Time V(t)
0
5
10
15
20
(d)
Net change of volume = V(0) -V(20)
=(50-0) gal
= 50 gal