A particle which moves with curvilinear motion has coordinates in millimeters which vary with the time t in seconds according to x = 6.3t2 - 7.0t and y = 4.3t2 - t/4.0. Determine the magnitudes of the velocity v and acceleration a and the angles which these vectors make with the x-axis when t = 3.0 s. Answers: When t = 3.0 s, V = i mm/s, i i mm/s², 0x= i a =

A particle which moves with curvilinear motion has coordinates in millimeters which vary with the time t in seconds according to x = 6.3t2 - 7.0t and y = 4.3t2 - t/4.0. Determine the magnitudes of the velocity v and acceleration a and the angles which these vectors make with the x-axis when t = 3.0 s. Answers: When t = 3.0 s, V = i mm/s, i i mm/s², 0x= i a =

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The x-coordinate of a particle in curvilinear motion is given by x = 3.8t3 - 3.9t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 2.7t. If the particle has y-components y = 0 and vy = 4.6 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 3.3 sec. Sketch the path for the first 3.3 seconds of motion, and show the velocity and acceleration vectors for t = 3.3 sec.
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