1) A steady, incompressible, two-dimensional velocity field is given by the following components in the xy-plane: V(u, v) = (0.25 +1.4x + 0.8y)i + (-0.5 +0.9x - 1.4y)j where the x- and y-coordinates are in m and the magnitude of velocity is in m/s. a) Calculate the acceleration field (find expressions for acceleration components ax and ay) b) Calculate the acceleration at the point (x, y) = (2, 3).

X2 = 5x1 + 5x2 - 7x3

1 Velocities are measured at different locations using a data logger and the field is given by the technician in the following vector form. Given that. du du ax = +u-+v. +w du du ôt əx ду əz V = 3tî +xzj+t Find the magnitude of velocity and acceleration at point (1,1,1) at time t = 1 second. Write the acceleration vector. If the fluid is incompressible, show that the flow field satisfies the conservation of mass. zj+ty²k m/s Əv dv dv Əv +u- +v +w- at Əx ду əz dw dw dw dw + w a ₂ = +u Ət Əx dy əz +v

THREE DIMENSIONAL ( NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE).