A $2\mathrm{.}90$ kg hoop $1\mathrm{.}20$ m in diameter is rolling to the right without slipping on a horizontal floor at a steady $2\mathrm{.}40$ rad$/$s$.$ Find the magnitude of the velocity vector of each of the following points, as viewed by a person at rest 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.