An idealized velocity field is given by the formula:

V=5txy i-2x²y j+x sin(z) k

a. Is this flow steady or unsteady? two-dimensional or three-dimensional?

b. Compute the total acceleration vector at the point (x,y,z)=(1,-2,0) and t=2.

c. Compute the unit vector in the direction of the acceleration vector at the point

(x,y,z)=(1,-2,0) and t=2.

d. Compute the component of the acceleration vector in the direction of the velocity

vector at the point (x,y,z)=(1,-2,0) and t=2. (Ans. -454.5)