Consider the motion:

$1=2$

$2$

$$

$2+1$

$2=2+2$

$3=3$

At $=0,$ the corner of a unit square are at points $(0,0,0),(0,1,0),(1,1,0),(1,0,0).$

a$)$ Determine the deformed shape at $=2,$ and draw the original reference shape

and the deformed shape.

$($hint: find the deformed shape by taking each edge of the squae and finding the

corresponding $1,2,3.$ For example the bottom edge $()$ has coordinates of

$(0,2,0))$

b$)$ Calculate the velocity field.

c$)$ Calculate the acceleration field.