An open-ended tin can has a hole punched in its bottom. The can is empty and is suddenly immersed in a large fish tank to depth H and then held steady. The area of the hole is 0.5 cm2 and the horizontal cross-sectional area of the can is 100 cm2. Assuming that the flow through the hole in the bottom of the can is frictionless, please determine the following:

(i) What is the velocity of the water into the can, v(t), in terms of water level h inside the can? Please note water level h is a function of time until it reaches H.

Hint: Engineering Bernoulli Equation

hi