A car traveling at 100 km/h skids 50 m after its brakes are suddenly applied. Set up a differential equation model and solve it.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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A car traveling at 100 km/h skids 50 m after its brakes are suddenly applied.
Set up a differential equation model and solve it.
(a) Under the assumption that the braking system provides constant deceleration,
determine that deceleration.
(b) How long does it take for the car to come to a complete stop?
Transcribed Image Text:A car traveling at 100 km/h skids 50 m after its brakes are suddenly applied. Set up a differential equation model and solve it. (a) Under the assumption that the braking system provides constant deceleration, determine that deceleration. (b) How long does it take for the car to come to a complete stop?
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