If the brakes on a car give the car a constant negative acceleration of , where k is a positive constant. What is the greatest speed it may be going if it is necessary to be able to stop the car within 25 meters after the brakes are applied?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter3: Motion Along A Straight Line
Section: Chapter Questions
Problem 61P: A woodpecker’s brain is specially protected from large accelerations by tendon-like attachments...
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If the brakes on a car give the car a constant negative acceleration of , where k is a positive constant. What is the greatest speed it may be going if it is necessary to be able to stop the car within 25 meters after the brakes are applied?

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