A Body Moves Along a Coordinate Line in Such a Way

question 22

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:

Interblob Regions

Areas in the visual cortex not containing blobs, which are involved in processing information about the form and motion of objects rather than color.

Visual Fields

The complete range visible in peripheral vision when the eye is directed towards a central focal point.

Optic Ataxia

A neurological condition characterized by a deficit in visually guided hand movements, due to damage in the parietal lobe of the brain.

Sclera

The protective and structural white exterior of the eyeball.