A bus initially at a bus stop accelerates continuously for a kilometer, taking a minute and a half. Upon closing in on the next stop, the driver then begins to hit the brakes until it reaches a full stop in 8 seconds. Find the total distance that the bus traveled and the velocity of the bus just before it begins decelerating.

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
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Problem 9OQ: As an object moves along the x axis, many measurements are made of its position, enough to generate...
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A bus initially at a bus stop accelerates continuously for a kilometer, taking a minute and a half. Upon closing in on the next stop, the driver then begins to hit the brakes until it reaches a full stop in 8 seconds. Find the total distance that the bus traveled and the velocity of the bus just before it begins decelerating. 

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