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While driving down the highway at 30m/s(which is about 72 mph) Bill Gambini spotsa police car, sirens flashing. At exactly 1:00 pm, when the police car is also travelingat 30m/s and is 100 meters behind Bill’s car, Bill floors the gas pedal, giving his caran acceleration of 2m/s 2. Bill keeps the pedal floored for 5 seconds. During this time,the police car continues moving at 30m/s, and the officer radios for backup.
a) How fast is Bill’s car moving at the end of those 5 seconds?
b) At the end of those 5 seconds, how much distance is between Bill’s car and the police car?
c) At the end of those 5 seconds, Bill, encouraged by his passenger Stan, hits the brake.His car slows down at a constant rate of 1.5m/ s 2. At what time will Bill’s car cometo a complete halt?
d) Make a rough (non-numerical) sketch of Bill’s position vs. time, starting from 1:00p.m. and ending when his car comes to rest.
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