During a very quick stop, a car decelerates at $6\mathrm{.}6\frac{m}{s^2}.$ Assume the forward motion of the car corresponds to a positive direction for the rotation of the tires $($and that they do not slip on the pavement$).$

Randomized Variables

$a_t=6\mathrm{.}6\frac{m}{s^2}$

$r=0\mathrm{.}25m$

${}_0=96ra\frac{d}{s}$

Part $($a$)$

What is the angular acceleration of its tires in $ra\frac{d}{s^2},$ assuming they have a radius of $0\mathrm{.}25$ m and do not slip on the pavement?

Part $($b$)$

How many revolutions do the tires make before coming to rest, given their initial angular velocity is $96ra\frac{d}{s}?$

Part $($c$)$

How long does the car take to stop completely in seconds?

Part $($d$)$

What distance does the car travel in this time in meters?

Part $($e$)$

What was the car's initial speed in $\frac{m}{s}?$