A $2\mathrm{.}20-$kg hoop $1\mathrm{.}20$ m in diameter is rolling to the right

without slipping on a horizontal floor at a steady $3\mathrm{.}00$ rad$/$s$.$

a$)$ How fast is its center moving?

b$)$ What is the kinetic energy of the hoop?

c$)$ Find the velocity vector of each of the following

points, as viewed by a person on the ground:

i$.$ The highest point on the hoop

ii$.$ The lowest point on the hoop

iii. A point on the right side of the hoop, midway

between the top and the bottom