a. Review the derivation of the three jump conditions for 1-dimensional "bore" (=water surface discontinuity) based on the "vertically averaged" conservation law

b. Using the jump conditions based only on mass and momentum conservation, express the bore speed in the rest frame of the upstream water in terms of the water height upstream h1 and water height downstream h2 ( > h1). Discuss the limits h1 => 0 and h1 => h2. Are both limits physical?

c. Repeat Part (a) using the jump conditions based only on mass and energy conservation. Discuss the limits h1 => 0 and h1 => h2. Are both limits physical?