Answer :
a) Angular acceleration (in rad/s2) = 6.75 m/s2 * (1 m / 0.270 m) = 25 rad/s2 (in the negative direction, since the car is decelerating)
b) Number of revolutions = (94.0 rad/s) / (25 rad/s2) = 3.76 revolutions
c) Time to stop completely = (94.0 rad/s) / (25 rad/s2) = 3.76 s
d) Distance travelled = (94.0 rad/s * 3.76 s) + (1/2 * 25 rad/s2 * 3.76 s2) = 402.5 m
e) Initial velocity = (25 rad/s2 * 3.76 s) + (94.0 rad/s) = 117 m/s (in the negative direction, since the car is decelerating)
f) The values obtained seem reasonable, considering that this stop happens very quickly. The initial velocity of 117 m/s is quite large, indicating that the car was traveling at a significant speed prior to the stop. The distance traveled, 402.5 m, is also reasonable.
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