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:

Narrow Range

Describes a limited spread or scope, often referring to a small diversity or variability within a specific parameter.

Temperatures

A measure of the warmth or coldness of an environment or object, typically expressed in degrees of a specified scale like Celsius or Fahrenheit.

Threatened Species

Refers to species that are vulnerable to endangerment in the near future.

Complex Brain

Refers to the advanced structure and functionality of the brain that allows for higher order processes such as reasoning, problem-solving, learning, and emotional responses.