Let V (t) be the volume of water in a tank (in liters), at time t (in seconds).

Q: Let V (t) be the volume of water in a tank (in liters), at time t (in seconds).

a) the meaning of dV/dt is rate of change of volume of water in tank and its unit is m^3/sec. b) i) Negative (as volume of water in tank is decreasing) ii) Negative (as volume of tank is still decreasing) iii) zero ( water doesn't leak out )

ID: 2871804 • Letter: L

Question

(a) What are the meaning and units of dV/dt ?

(b) The tank is full at time t_0, so that V (t_0) > 0. At some later time t_1 a drain is opened 20 cm above the bottom of the tank (which is taller than 20 cm), emptying water from side of the tank. Is dV/dt positive, negative or zero

i. at times t with t_0 < t < t_1?

ii. after the drain has been opened at t_1, but before the water has dropped to 20 cm above the bottom of the tank?

iii. after the water drops to the drain hole 20 cm above the bottom of the tank?

Explanation / Answer

a) the meaning of dV/dt is rate of change of volume of water in tank and its unit is m^3/sec.

i) Negative (as volume of water in tank is decreasing)

ii) Negative (as volume of tank is still decreasing)

iii) zero ( water doesn't leak out )

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Let V (t) be the volume of water in a tank (in liters), at time t (in seconds).

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Explanation / Answer

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