At t=​0, a train approaching a station begins decelerating from a speed of 96 ​mi/hr according to the acceleration function a(t)=−1536(1+8t)−3 mi/hr2​, where t≥0. How far does the train travel between t=0 and t=0.1​? Between t=0.1 and t=0.4​?

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 10P: An object moves along the x axis according to the equation x = 3.00t2 2.00t + 3.00, where x is in...
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At t=​0, a train approaching a station begins decelerating from a speed of 96 ​mi/hr according to the acceleration function a(t)=−1536(1+8t)−3 mi/hr2​, where t≥0. How far does the train travel between t=0 and t=0.1​? Between t=0.1 and t=0.4​?

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