A car initially traveling at $23\mathrm{.}2$ m$/$s undergoes a constant negative acceleration of magnitude $1\mathrm{.}40$ m$/$s$2$ after its brakes are applied.

$($a$)$ How many revolutions does each tire make before the car comes to a stop, assuming the car does not skid and the tires have radii of $0\mathrm{.}315$ m$?$

rev

$($b$)$ What is the angular speed of the wheels when the car has traveled half the total distance?

rad$/$s