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 = 0.1 m/s at x1 = 1 m
V2 =1 m/s at x2 = 3 m.
At point 1 it is also measured that dV1/dt = 0.2 m/s^2
At point 2 it is also measured that dV2/dt = 0.4 m/s^2
Determine the local acceleration, the convective acceleration, and the total acceleration at point 1 and 2 at t = 0.