At t = 0, a train begins decelerating from a speed of 80 mi/hr according to the acceleration function a(t) = −1280(1 + 8t)^-3, where t is measured in hours. a. How far does the train travel in the first 10 minutes? b. There’s an object on the tracks ½ mile away from the train’s initial position. How much time does it take the train to reach the object? Give your answer in seconds.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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At t = 0, a train begins decelerating from a speed of 80 mi/hr according to the acceleration
function a(t) = −1280(1 + 8t)^-3, where t is measured in hours.
a. How far does the train travel in the first 10 minutes?

b. There’s an object on the tracks ½ mile away from the train’s initial position. How much
time does it take the train to reach the object? Give your answer in seconds.

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