• A car of mass m accelerates from rest along a level, straight track, not at constant accler- ation, but with constant engine power P. Assume that air resistance is negligible. (a) Find the velocity of the car as a function of time. (b) A second car starts from rest alongside the first car, on the same track, but maintains a constant acceleration. Which car takes the initial lead? Does the second car overtake it? If yes, write a formula for the distance from the starting point at which this happens.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: More Applications Of Newton’s Laws
Section: Chapter Questions
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• A car of mass m accelerates from rest along a level, straight track, not at constant accler-
ation, but with constant engine power P. Assume that air resistance is negligible. (a) Find
the velocity of the car as a function of time. (b) A second car starts from rest alongside
the first car, on the same track, but maintains a constant acceleration. Which car takes the
initial lead? Does the second car overtake it? If yes, write a formula for the distance from
the starting point at which this happens.
Transcribed Image Text:• A car of mass m accelerates from rest along a level, straight track, not at constant accler- ation, but with constant engine power P. Assume that air resistance is negligible. (a) Find the velocity of the car as a function of time. (b) A second car starts from rest alongside the first car, on the same track, but maintains a constant acceleration. Which car takes the initial lead? Does the second car overtake it? If yes, write a formula for the distance from the starting point at which this happens.
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