Find the Velocity and Position Vectors of an Object with Acceleration

question 46

Short Answer

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

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Definitions:

Real Time

The processing of data or the delivery of information immediately after collection, without noticeable delay, allowing for immediate action or response.

Ziosk

A brand name for a tablet-like device used in restaurants that allows customers to order food, pay their bill, and entertain themselves while waiting.

Tips

Voluntary payments made to certain service workers in addition to the basic price for services rendered.

Olive Garden

Olive Garden is a popular American casual dining restaurant chain specializing in Italian-American cuisine.