The components of the velocity vector that represent the change in the particle's position vector will be independent of one another as long as the components of the particle's position vector are independent of one another.
Can the z component of the acceleration affect the x and y component?
Learn more about the acceleration vector with the help of the given link:
https://brainly.com/question/13590043
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I understand that the question you are looking for is "A particle moves in three-dimensional space with a constant acceleration. Can the z component of the acceleration affect the x component of its location? Can the z component of the acceleration affect the y component of the velocity?"