a) the average velocity of the particle from t = 1.0 s to t = 3.0 s b) the instantaneous velocity of the particle at t= 2.5 s c) the average acceleration of the particle from t= 2.0 s to t= 3.0 s d) the tat which the instantaneous acceleration of the particle is 8.10 m/s2

a) the average velocity of the particle from t = 1.0 s to t = 3.0 s b) the instantaneous velocity of the particle at t= 2.5 s c) the average acceleration of the particle from t= 2.0 s to t= 3.0 s d) the tat which the instantaneous acceleration of the particle is 8.10 m/s2

Name: 4t3+t2, 3t2+ 4t3X=tGiven that the position of a particle is defined i
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Description: 4t3+t2, 3t2+ 4t3X=tGiven that the position of a particle is defined in terms of time by the equation below,where x is in meters and tis in seconds, determine:a) the average velocity of the particle from t= 1.0 s to t = 3.0 sb) the instantaneous velo

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 2P

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A race car moves such that, its position fits the relationship x = (5.0 m/s)t + (0.75 m/s3)t3 where x is measured in meters and t in seconds. (a) Plot a graph of the car's position versus time. (b) Determine the instantaneous velocity of the car at t = 4.0 s, using time intervals of 0.40 s, 0.20 s, and 0.10 s. (c) Compare the average velocity during the first 4.0 s with the results of part (b).
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