4. The Pacer Test. As a warm-up, Gene is trying to do everyone's favorite Pacer test, which involves running back and forth between two markers 20 m apart in a sufficient amount of time. When Gene runs, he starts from rest, accelerates at a constant rate, decelerates at a constant rate, and finishes at rest in order to make the next lap as soon as possible. The Pacer test starts slow, but picks up speed for each lap. Gene is on one of the last laps and is starting to lose breath already. If Gene can accelerate at 0.3m/s? and decelerate at 1.2 m/s, how long is the fastest 20m lap he could possibly run?

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 39AP: Hannah tests her new sports car by racing with Sam, an experienced racer. Both start from rest, but...
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4. The Pacer Test.
As a warm-up, Gene is trying to do everyone's favorite Pacer test, which
involves running back and forth between two markers 20 m apart in a sufficient amount of time. When Gene
runs, he starts from rest, accelerates at a constant rate, decelerates at a constant rate, and finishes at rest
in order to make the next lap as soon as possible. The Pacer test starts slow, but picks up speed for each
Iap. Gene is on one of the last laps and is starting to lose breath already. If Gene can accelerate at 0.3 m/s?
and decelerate at 1.2 m/s, how long is the fastest 20 m lap he could possibly run?
Transcribed Image Text:4. The Pacer Test. As a warm-up, Gene is trying to do everyone's favorite Pacer test, which involves running back and forth between two markers 20 m apart in a sufficient amount of time. When Gene runs, he starts from rest, accelerates at a constant rate, decelerates at a constant rate, and finishes at rest in order to make the next lap as soon as possible. The Pacer test starts slow, but picks up speed for each Iap. Gene is on one of the last laps and is starting to lose breath already. If Gene can accelerate at 0.3 m/s? and decelerate at 1.2 m/s, how long is the fastest 20 m lap he could possibly run?
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