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MBA, Ph.D in Management
Harvard university
Feb-1997 - Aug-2003
Professor
Strayer University
Jan-2007 - Present
The engine of a toy car with mass m supplies a constant power P over a time “t” to the wheels to accelerate the car. You can ignore air resistance and other dissipative forces. Assume that the car starts from rest.
a) Show that the speed of the car as a function of time is: v= (2Pt/m)1/2.
b) Show that the acceleration is not constant in this case.
c) Does the expression in (b) make sense for t=0? Justify your answer.
d) If your 1500 kg car accelerates from zero to 60 mph (about 27 m/s) in 5 seconds. What is the average power of your car? Find this answer in both kilowatts and in horsepower.
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