Suppose that a car starts from rest, its engine providing an acceleration of 10 ft/s 2 ,
Question:
Suppose that a car starts from rest, its engine providing an acceleration of 10 ft/s2, while air resistance provides 0.1 ft/s2 of deceleration for each foot per second of the car’s velocity.
(a) Find the car’s maximum possible (limiting) velocity.
(b) Find how long it takes the car to attain 90% of its limiting velocity, and how far it travels while doing so.
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The car satisfies the initial value problem v 100lv v0 0 Separating variables 1 gives 1001 f dv f ...View the full answer
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Related Book For
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
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