A Body Moves Along a Coordinate Line in Such a Way

question 141

Short Answer

A body moves along a coordinate line in such a way that its velocity at any time $t$ , where $0 \leq t \leq 6$ , is given by
$$v ( t ) = t \sqrt { 36 - t ^ { 2 } } .$$
Find its position function if it is initially located at the origin.

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Definitions:

Expressing Feelings

The process of communicating emotions or emotional reactions to others, either verbally or through behavior.

Screaming

Emitting a loud, sharp, piercing sound, often as a way to express extreme emotion, alarm, or pain.

Symbolically

In a manner that uses symbols or metaphorical representations to convey meanings, concepts, or ideas beyond their literal sense.

Social Referencing

The process by which individuals look to others in their environment for cues on how to respond or behave in certain situations.