As a valve is opened, water flows through the diffuser shown in the figure below at an increasing flow rate so that the velocity along the centerline is given by V=ui^=V0(1ect)(1x/l)i^, where V0,c, and l are constants. (a) Determine the acceleration as a function of x and t. (b) If V0=10ft/s and l=5ft what value of c (other than c=0 ) is needed to make the acceleration zero for any x at t=1s