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23 Nov 2019
Leadfoot Lou enters the "Rest to Rest" auto competition in whicheach contestant's car begins and ends at rest, covering a fixeddistance L in as short a time as possible. The intention is todemonstrate driving skills and to find which car is the best totalcombination of speeding up and slowing down. The course is designedso that the maximum speeds of the cars are never reached. NeglectLou's reaction time.
a. If Lou's car maintains an acceleration (magnitude) of a duringspeedup and deceleration (magnitude) of 2a during braking, at whatfraction of L should Lou move his foot from the gas pedal to thebrake?
b. What fraction of the total time for the trip has elapsed at thatpoint?
c. What is the fasted speed Lou's car ever reaches?
Leadfoot Lou enters the "Rest to Rest" auto competition in whicheach contestant's car begins and ends at rest, covering a fixeddistance L in as short a time as possible. The intention is todemonstrate driving skills and to find which car is the best totalcombination of speeding up and slowing down. The course is designedso that the maximum speeds of the cars are never reached. NeglectLou's reaction time.
a. If Lou's car maintains an acceleration (magnitude) of a duringspeedup and deceleration (magnitude) of 2a during braking, at whatfraction of L should Lou move his foot from the gas pedal to thebrake?
b. What fraction of the total time for the trip has elapsed at thatpoint?
c. What is the fasted speed Lou's car ever reaches?
