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Find the Velocity and Position Vectors of an Object with Acceleration

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Short Answer

Find the velocity and position vectors of an object with acceleration a(t)=4i72jj+(72t+4)k\mathbf { a } ( t ) = 4 \mathbf { i } - 72 \mathbf { j } \mathbf { j } + ( 72 t + 4 ) \mathbf { k } initial velocity v(0)=i+k\mathbf { v } ( 0 ) = \mathbf { i } + \mathbf { k } and initial position r(0)=j+3k\mathbf { r } ( 0 ) = \mathbf { j } + 3 \mathbf { k }


Definitions:

Negative Reinforcers

Stimuli whose removal following a behavior increases the likelihood of that behavior being repeated in the future.

Spontaneous Recovery

The reappearance of a previously extinguished response after a period without exposure to the conditioned stimulus.

Negative Reinforcement

A behavioral principle where the removal of an unfavorable outcome or stimulus increases the likelihood of a behavior being repeated.

Discrimination

The unfair or biased treatment toward various groups of individuals, frequently rooted in differences in race, age, gender, or physical abilities.

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