At t = 0, a train approaching a station begins decelerating from a speed of 80 miles/hour according to the acceleration function a(t) = -1280(1+ 8t)-3, where t> 0 is measured in hours. The units of acceleration are mi/hr2. (a) What's the velocity of the train at t: 0? (b) Find the velocity v(t) of the train for t > 0. (c) How far does the train travel in the first 15 minutes (1/4 hour)?

An Introduction to Physical Science
14th Edition
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Chapter1: Measurement
Section: Chapter Questions
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At t = 0, a train approaching a station begins decelerating from a
speed of 80 miles/hour according to the acceleration function
a(t) = -1280(1+ 8t)-3, where t> 0 is measured in hours. The
units of acceleration are mi/hr2.
(a) What's the velocity of the train at t:
0?
(b) Find the velocity v(t) of the train for t > 0.
(c) How far does the train travel in the first 15 minutes (1/4
hour)?
Transcribed Image Text:At t = 0, a train approaching a station begins decelerating from a speed of 80 miles/hour according to the acceleration function a(t) = -1280(1+ 8t)-3, where t> 0 is measured in hours. The units of acceleration are mi/hr2. (a) What's the velocity of the train at t: 0? (b) Find the velocity v(t) of the train for t > 0. (c) How far does the train travel in the first 15 minutes (1/4 hour)?
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