$3(15$ points$)-$ Consider the steady flow in the figure on the right. The fluid accelerates from A to C to $B,$ and it's known that the velocity is a linear function of x $.$ Find the acceleration at points $A,C,$ and B$.$ Hint: write out the expression for the acceleration of a fluid particle and then determine which terms are $0,$ and which you need to calculate from the given information. Show all work