Before 1960, it was believed that the maximum attainable coefficient of static friction for an automobile tire was less than 1. then around 1962, three companies independently developed racing tires with coefficients of 1.6. since then, tires have improved, as illustrated in this problem. according to the 1990 guinness book of records, the shortest time interval in which a piston-engine car initially at rest has covered a distance of one- quarter mile is 4.96 s. this record was set by shirley muldowney in september 1989. (a) assume that, as shown in figure p5.3, the rear wheels lifted the front wheels off the pavement. what minimum value of us is necessary to achieve the record time? (b) suppose muldowney were able to double her engine power, keeping other things equal. how would this change affect the elapsed time?