(1) The position s(t) of an object moving along the x-axis is given by s(t) = 3t¹ - 8t³ - 15t². For this problem s(t) is measured in meters, and t is measured in seconds. (a) What is the average velocity of the object over the interval [0, 2]? (b) (c) What is the instantaneous velocity of the object at t = 2? Find all values of t in the interval [0, 5] when the object is momentarily stopped.

(1) The position s(t) of an object moving along the x-axis is given by s(t) = 3t¹ - 8t³ - 15t². For this problem s(t) is measured in meters, and t is measured in seconds. (a) What is the average velocity of the object over the interval [0, 2]? (b) (c) What is the instantaneous velocity of the object at t = 2? Find all values of t in the interval [0, 5] when the object is momentarily stopped.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

(1) The position s(t) of an object moving along the x-axis is given by s(t) = 3t¹ – 8t³ .
this problem s(t) is measured in meters, and t is measured in seconds.
(a)
What is the average velocity of the object over the interval [0, 2]?
(b)
(c)
What is the instantaneous velocity of the object at t 2?
15
2
t². For
Find all values of t in the interval [0, 5] when the object is momentarily stopped.

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