PROBLEM $12$

On HW$1,$ you solved for the water depth for flow over a bump. a$)$ Please calculate the

critical water depth, and the minimum specific energy. b$)$ What is the height of the bump

needed to obtain the critical depth precisely at the bump? c$)$ What happens when the height

of the bump is increased to double the value obtained in b$)?$ d$)$ Please use the $E-y$ to

describe what you observe in each case. This is a theroritical question that has no given numbers