Find the Velocity and Position Vectors of an Object with Acceleration

question 14

Short Answer

Find the velocity and position vectors of an object with acceleration $\mathbf { a } ( t ) = 4 \mathbf { i } - 72 \mathbf { j } \mathbf { j } + ( 72 t + 4 ) \mathbf { k }$ initial velocity $\mathbf { v } ( 0 ) = \mathbf { i } + \mathbf { k }$ and initial position $\mathbf { r } ( 0 ) = \mathbf { j } + 3 \mathbf { k }$

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Definitions:

Misfortune

The occurrence of an unfortunate or adverse event.

Tradeoff

A situation that involves losing one quality, aspect, or amount of something in return for gaining another quality, aspect, or amount.

Self-regulation

The ability to monitor and control one's own behavior, emotions, or thoughts, adapting to circumstances and achieving personal or professional goals.

Self-control

The capacity to regulate one's thoughts, emotions, and behaviors in the face of temptations and impulses.