During a very quick stop, a car decelerates at $7\mathrm{.}20$ m$/$s$2.$

$($a$)$

What is the angular acceleration $($in rad$/$s$2)$ of its $0\mathrm{.}270$ m radius tires, assuming they do not slip on the pavement? $($Indicate the direction with the sign of your answer. Assume the tires initially rotated in the positive direction.$)$

rad$/$s$2$

$($b$)$

How many revolutions do the tires make before coming to rest, given their initial angular velocity is $98\mathrm{.}0$ rad$/$s$?$

revolutions

$($c$)$

How long $($in s$)$ does the car take to stop completely?

s

$($d$)$

What distance $($in m$)$ does the car travel in this time?

m

$($e$)$

What was the car's initial velocity $($in m$/$s$)?($Indicate the direction with the sign of your answer.$)$

m$/$s

$($f$)$

Do the values obtained seem reasonable, considering that this stop happens very quickly?