An object's position in a given coordinate system is described by the vector r = t^2 i - (3t + 3) j. Assume the object moves without air resistance. What is the object's velocity at t(3) = 2 seconds? What is the object's acceleration at t(4) = 5 seconds? What is the magnitude of the object's average velocity between t(1) = 1 second and t(2) = 3 seconds?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 11P: A particle moves along the x axis according to the equation x = 2.00 + 3.00t 1.00t2, where x is in...
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An object's position in a given coordinate system is described by the vector r = t^2 i - (3t + 3) j. Assume the object moves without air resistance. What is the object's velocity at t(3) = 2 seconds? What is the object's acceleration at t(4) = 5 seconds? What is the magnitude of the object's average velocity between t(1) = 1 second and t(2) = 3 seconds?

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