The Daytona $500,$ held every spring has two courses that feature four$-$story, $31\mathrm{.}0$o banked

curves with maximum radius of $316$ m$.$ If a car approaches the curve too slowly, it tends to slip

down the incline of the turn, whereas if it$$s going too fast, it may begin to slide up the incline.

$($a$)$ Find the necessary centripetal acceleration on this banked curve so the car won$$t slip down

or slide up the incline. $($neglect friction$)$

$($b$)$ Calculate the speed of the race car