A nozzle is designed to linearly accelerate the fluid from V1 to V2 (i.e., V = ax +b, where a and b are constants). The flow at t = 0 is V1 = 15 m/ at x1 =0 and V2 =25 m/s and x2 =2 m. At point 1 and point 2, it is also measured that dV1/dt=20 m/s2 and dV2/dt=50 m/s2 , respectively. Determine the local acceleration, the convective acceleration, and the total acceleration at point 1 and 2 at t = 0. Total acceleration is between 80-100 m/s^2 at x =0, 150-200 m/s^2 at x =2m.