Let s(t) = 2t3 – 3t + 1 be the function modeling the position of a moving object, %3D where s is measured in meters and t is measured in seconds. (a) Write the functions v(t) describing the velocity of the point at time t and a(t) describing the acceleration of the point at time t. (b) Find the instant tį in which the velocity is 52 m/s and the instant t2 in which the acceleration is 84 m/s². c*) Calculate the meters traveled by the object in the time elapsed between tį and t2.

Let s(t) = 2t3 – 3t + 1 be the function modeling the position of a moving object, %3D where s is measured in meters and t is measured in seconds. (a) Write the functions v(t) describing the velocity of the point at time t and a(t) describing the acceleration of the point at time t. (b) Find the instant tį in which the velocity is 52 m/s and the instant t2 in which the acceleration is 84 m/s². c*) Calculate the meters traveled by the object in the time elapsed between tį and t2.

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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