The spatial motion of a particle is described by? = 3? 2 + 4? ? = −4? 2 + 3? ? = −6? + 9where the coordinates are measured in feet and the time t is in seconds. (a) Determine the velocity and acceleration vectors of the particle as functions of time. (b) Verify that the particle is undergoing plane motion (the motion is not in a coordinate plane) by showing that the unit vector perpendicular to the plane formed by v and a is constant. 3. The spatial motion of a particle is described byx = 3t 2 + 4ty = -4t 2 + 3tz = -6t + 9where the coordinates are measured in feet and the time t is in seconds. (a) Determine the velocity andacceleration vectors of the particle as functions of time. (b) Verify that the particle is undergoing planemotion (the motion is not in a coordinate plane) by showing that the unit vector perpendicular to theplane formed by v and a is constant.

Answered: 3. The spatial motion of a particle is…

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 spatial motion of a particle is described by
? = 3? 2 + 4? ? = −4? 2 + 3? ? = −6? + 9
where the coordinates are measured in feet and the time t is in seconds. (a) Determine the velocity and
acceleration vectors of the particle as functions of time. (b) Verify that the particle is undergoing plane
motion (the motion is not in a coordinate plane) by showing that the unit vector perpendicular to the
plane formed by v and a is constant.

3. The spatial motion of a particle is described by
x = 3t 2 + 4t
y = -4t 2 + 3t
z = -6t + 9
where the coordinates are measured in feet and the time t is in seconds. (a) Determine the velocity and
acceleration vectors of the particle as functions of time. (b) Verify that the particle is undergoing plane
motion (the motion is not in a coordinate plane) by showing that the unit vector perpendicular to the
plane formed by v and a is constant.

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