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:

Absolute Threshold

The minimum intensity of a stimulus that one can perceive, indicating the lowest level at which an individual can detect a stimulus 50% of the time.

Difference Threshold

The minimum difference in stimulation that a person can detect 50% of the time.

Just Noticeable Difference (Jnd)

The least alteration in a stimulus that is just noticeable by an organism.

Absolute Threshold

The minimum stimulus intensity required for detection by a sense organ, signifying the point at which a stimulus becomes perceptible to the senses.