Given that the position of a particle is defined in terms of time by the equation below, where x is in meters and t is in seconds, determine: 4t3 + t2 3t2 + 4 (a) the average velocity of the particle from t = 1.0 s to t = 3.0 s, (Ans: vave = 16 m/s) (b) the instantaneous velocity of the particle at t = 2.5 s, (Ans: vx = 20.52 m/s) (c) the average acceleration of the particle from t = 2.0 s to t = 3.0 s, and (Ans: aave = 8.42 m/s2) %3D (d) the t at which the instantaneous acceleration of the particle is 8.10 m/s2. (Ans: t = 3.91 s)

Given that the position of a particle is defined in terms of time by the equation below, where x is in meters and t is in seconds, determine: 4t3 + t2 3t2 + 4 (a) the average velocity of the particle from t = 1.0 s to t = 3.0 s, (Ans: vave = 16 m/s) (b) the instantaneous velocity of the particle at t = 2.5 s, (Ans: vx = 20.52 m/s) (c) the average acceleration of the particle from t = 2.0 s to t = 3.0 s, and (Ans: aave = 8.42 m/s2) %3D (d) the t at which the instantaneous acceleration of the particle is 8.10 m/s2. (Ans: t = 3.91 s)

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Description: Given that the position of a particle is defined in terms of time by the equation below, where x is inmeters and t is in seconds, determine:4t3 + t² 3t2++ 4t(a) the average velocity of the particle from t = 1.0 s to t = 3.0 s, (Ans: vave = 16 m/s)(b

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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