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a) Determine the position function, s(t), of an object if the acceleration is a(t) = 3t , v(2) = 0, and s(2) = 1. %3D

a) Determine the position function, s(t), of an object if the acceleration is a(t) = 3t , v(2) = 0, and s(2) = 1. %3D

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter6: Rates Of Change
Section6.1: Velocity
Problem 12SBE
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5. Interpretations of Integrals a) Determine the position function, s(t), of an object if the acceleration is a(t) = 3t, v(2) = 0, and s(2) = 1. b) At 9 am, water begins leaking from a tank at a rate of -21 gal/hour (t represents hours after 9 am). How much water is lost between 10 am and 2 pm? c) Use the velocity function v(t) = e* to compute the distance traveled by an object over the time interval [0,6].
Transcribed Image Text:5. Interpretations of Integrals a) Determine the position function, s(t), of an object if the acceleration is a(t) = 3t, v(2) = 0, and s(2) = 1. b) At 9 am, water begins leaking from a tank at a rate of -21 gal/hour (t represents hours after 9 am). How much water is lost between 10 am and 2 pm? c) Use the velocity function v(t) = e* to compute the distance traveled by an object over the time interval [0,6].
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