$8.$ A ferris wheel with radius $14\mathrm{.}0$m is turning about a horizontal axis through its center. The liniear speed of a passenger on the rim is constant and equal to $8\mathrm{.}80$ m$/$s$.$ a$.$ What are the magnitude and direction of the passenger$$s acceleration as they pass through the lowest point in the motion $($ie the bottom$)?(5\mathrm{.}53$ m$/$s$2,$ upward toward center$)$ b$.$ What are the magnitude and direction of the passenger$$s acceleration as they pass through the highest point in the motion $($ie the top$)?($still $5\mathrm{.}53$ m$/$s$2,$ downward toward center$)$ c$.$ How much time does it take for the ride to make one revolution? $(10$ s$)$ d$.$ How long is the ride, if it makes $32$ revolutions? $(5\mathrm{.}33$ mins$)$