5.Interpretations of Integralsa) 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-21gal/hour (t representshours 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 overthe time interval [0,6].

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Answered: a) Determine the position function,…

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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A particle is moving along the x-axis with position function x(t). Find the (a) velocity and (b) acceleration, and (c) describe the motion of the particle for t20. x(t) = -t+3t-8 ... (a) v(t) = -3t +3 (b) a(t)= 6t (c) Describe the motion of the particle for t20. The particle begins at position 1 moving in the posie direction. It moves to position at t=1, and then changes direction, moving in the negative direction thereafter. (Simplify your answers. (1) TC More Enter your answer in the edit fields and then click Check Answer. All parts showing Clear All DEC 4 MacBook Air
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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