A Particle Moves in a Straight Line from Its Initial

question 121

Essay

A particle moves in a straight line from its initial position so that after t seconds, its distance is given by s = t² + t feet from its initial position. Find the average velocity of the particle over the interval [3,5] seconds. Use limits to find the instantaneous velocity of the particle at t = 1 second.

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Definitions:

Tics

Tics are sudden, repetitive, nonrhythmic motor movements or vocalizations, often characterized by brief, intermittent movements or noises.

Neurodevelopmental Disorder

A group of conditions that occur due to disruptions in brain development, affecting a child's behavior, memory, or ability to learn.

Mute

Unable or unwilling to speak, often due to emotional or physical conditions.

Time-out

A behavioral management technique where an individual is temporarily removed from an activity to decrease undesirable behaviors.