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:

Family Intervention

A structured method of assistance where family members come together to address issues affecting one or more of their members, often related to mental health or substance abuse.

Autism Spectrum Disorder

A range of neurological and developmental disorders characterized by difficulties in social interaction and communication, along with restricted and repetitive behaviors.

Delinquent-Type Behaviors

Actions that violate social norms or laws, often performed by juveniles.

Repetitive Behaviors

Actions that are performed over and over again, often as a symptom of a neurodevelopmental disorder.