(One-Dimensional Motion) A race car can accelerate from 0 to 100 mi/h (1mi = 1600 m) in 14 seconds, and its brake can provide a maximum deceleration of 0.65g (g = 9.8 m/s?). The driver wants to test the performance of the car by finding the shortest possible time it would take for the car to travel a distance of 0.5 mi in a straight line, starting from rest and finishing at rest. (a) What is the acceleration of the car in terms of g? (b) For how long should the driver be accelerating before reaching the top speed of the test drive?

(One-Dimensional Motion) A race car can accelerate from 0 to 100 mi/h (1mi = 1600 m) in 14 seconds, and its brake can provide a maximum deceleration of 0.65g (g = 9.8 m/s?). The driver wants to test the performance of the car by finding the shortest possible time it would take for the car to travel a distance of 0.5 mi in a straight line, starting from rest and finishing at rest. (a) What is the acceleration of the car in terms of g? (b) For how long should the driver be accelerating before reaching the top speed of the test drive?

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

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 23P: The driver of a car slams on the brakes when he sees a tree blocking the road. The car slows...

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A race car can accelerate from 0 to 100 mi/h (1mi = 1600 m) in 14 seconds, and its brake can provide a maximum deceleration of 0.65g (g = 9.8 m/s²). The driver wants to test the performance of the car by finding the shortest possible time it would take for the car to travel a distance of 0.5 mi in a straight line, starting from rest and finishing at rest. (a) What is the acceleration of the car in terms of g? (b) For how long should the driver be accelerating before reaching the top speed of the test drive?
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