Find the Velocity and Position Vectors of an Object with Acceleration

question 23

Essay

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

Custom-Made

Products or goods that are specifically designed and made according to the customer's specifications.

Cuffs

The end part of a sleeve, where the material of the garment is turned back or a separate band is sewn on.

Trousers

Clothing items worn from the waist to anywhere between the knees and the feet, covering each leg separately.

L.E.D. Signs

Electronic displays that use light-emitting diodes to create text, images, or video messages, commonly used for advertising or information dissemination.