As the driver steps on the gas pedal, a car of mass 1 160 kg accelerates from rest.During the first few seconds of motion, the car’s acceleration increases with timeaccording to the expressiona = 1.16t − 0.210t2 + 0.240t3where t is in seconds and a is in m/s2. (a) What is the change in kinetic energy of thecar during the interval from t = 0 to t = 2.50 s? (b) What is the minimum average poweroutput of the engine over this time interval? (c) Why is the value in part (b) describedas the minimum value?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter10: Systems Of Particles And Conservation Of Momentum
Section: Chapter Questions
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As the driver steps on the gas pedal, a car of mass 1 160 kg accelerates from rest.
During the first few seconds of motion, the car’s acceleration increases with time
according to the expression
a = 1.16t − 0.210t
2 + 0.240t
3
where t is in seconds and a is in m/s
2
. (a) What is the change in kinetic energy of the
car during the interval from t = 0 to t = 2.50 s? (b) What is the minimum average power
output of the engine over this time interval? (c) Why is the value in part (b) described
as the minimum value?

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