a) Determine the position function, 8(t), of an object if the acceleration is a(t) = 5t (3) = 0, and s(3) = 1. b) At 10 am, water begins leaking from a tank at a rate of f-e"gal/hour (t represents hours after 10 am). How much water is lost between 10 am and 4 pm? c) Use the velocity function (t) = 2e*"m / s to compute the distance traveled by an object over the time interval (0,5] seconds. %3D

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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7.
Interpretations of Inte
a) Determine the position function, s(t), of an object if the acceleration is a(t) = 5t ,
v(3) = 0, and s(3) = 1.
b) At 10 am, water begins leaking from a tank at a rate of -e" gal/hour (t represents
hours after 10 am). How much water is lost between 10 am and 4 pm?
c) Use the velocity function v(t) = 2e"m /s to compute the distance traveled by an
object over the time interval (0,5] seconds.
Transcribed Image Text:7. Interpretations of Inte a) Determine the position function, s(t), of an object if the acceleration is a(t) = 5t , v(3) = 0, and s(3) = 1. b) At 10 am, water begins leaking from a tank at a rate of -e" gal/hour (t represents hours after 10 am). How much water is lost between 10 am and 4 pm? c) Use the velocity function v(t) = 2e"m /s to compute the distance traveled by an object over the time interval (0,5] seconds.
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