Consider the incompressible flow of a fluid through a nozzle. The area of the nozzle is given by A = A0 (1 – bx) and the inlet velocity varies according to U = C(1+at) where A0 = 1ft^2, L = 4ft, b=0.1ft^-1, a = 2 s^-1, and C = 10 ft/s. The flow may be assumed one-dimensional. Find the acceleration of a fluid particle at x = L/2 = 2 ft for t = 0 and 0.5 s.