A velocity field is represented by the expression , where A = 1 s-1, B = 6 m·s-1, D = 3 m·s-2, and the coordinates are measured in meters. Determine the proper value for C if the flow field is to be incompressible. Calculate the acceleration of a fluid particle located at point (x, y) = (3, 2). Determine the equation for flow streamlines in the xy plane.

Complete Question

The complete question is shown on the first uploaded image

The proper value of C is

The acceleration of the fluid is

The equation for the flow streamline in the xy plane is,

Explanation:

The explanation is on the second ,third fourth and fifth image

real, smaller and upside-down.   so the answer should be b.

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s