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**Problem 6: ** During a very quick stop, a car decelerates at 6.2 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).

**Part (a) ** What is the angular acceleration of its tires in rad/s^{2}, assuming they have a radius of 0.26 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 94 rad/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 m/s?