I need the answer as soon as possible Q4/ A car moves according to a law of motion s = f(t) = t³ – 12t2 + 36t, t > 0, wheres and t are measured in seconds and in feet, respectively.1. When is the car at rest?2. When is the car moving in the positive direction?3. Find the total distance traveled during the first 8 second.4. Draw a diagram that illustrates the motion of the car.

Since you have asked multiple subpart,as per our guidelines we are supposed to answer only first 3…

Answered: Q4/ A car moves according to a law of…

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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Q4/ A car moves according to a law of motion s = f(t) = t3 – 12t2 + 36t, t> 0, where- s and t are measured in seconds and in feet, respectively. 1. When is the car at rest? 2. When is the car moving in the positive direction? 3. Find the total distance traveled during the first 8 second.