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:

Digital

Relating to, using, or characterized by computer technology that uses discrete values, often binary, for processing, storage, and transmission of data.

Broadband

An always-active Internet connection that offers speeds surpassing those of conventional dial-up services.

High Bandwidth

Describes a communication link or network with the capacity to transport a large amount of data in a given time period, often associated with high-speed internet connections.

Twisted-Pair

A type of cabling used in telecommunications in which two conductors are twisted together to cancel out electromagnetic interference.