A particle moves in a straight line such that its acceleration when at position x (with respect to a given coordinate system) is given by:a = 7x2 + 3If its velocity, v, at position x = 0 is given by v(0)= 2, what is the velocity of the particle when at position x? Give your answer in terms of x.

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Answered: A particle moves in a straight line…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A particle moves in a straight line such that its acceleration when at position x (with respect to a given coordinate system) is given by:

a = 7x² + 3

If its velocity, v, at position x = 0 is given by v(0)= 2, what is the velocity of the particle when at position x? Give your answer in terms of x.

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

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