Question

In: Physics

A velocity vector field is given by F (x, y) = - i + xj a)...

A velocity vector field is given by F (x, y) = - i + xj

a) Draw this vector field.

b) Find parametric equations that describe the current lines in this field. c)

Obtain the current line which passes through point (2,0) at time t = 0 and represent it graphically. d)

Obtain the representation y = f(x) of the current line in part c).

Solutions

Expert Solution

ANSWER:

Given that:-

A velocity vector filed is given by

(a) The vector field looks like

Flow lines looks like parabolas.

(b) By the definition of element lines, the target vector to these parametric curves at each point must equal to F i.e

Passes through

so,

This is the required graphical representation of parabola.

genius_generous answered 1 year ago

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