Describe the Motion of a Particle with Position $( x , y )$

question 51

Multiple Choice

Describe the motion of a particle with position $( x , y )$ as $t$ varies in the given interval $0 \leq t \leq 2 \pi$ .
$$x = 8 \sin t , y = 5 \cos t$$

• A) Moves once counterclockwise along the circle \(x ^ { 2 } + y ^ { 2 } = 1\) starting and ending at \(( 0 , - 5 )\)
• B)
• Moves once counterclockwise along the ellipse \(\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 25 } = 1\) starting and ending at \(( 0,5 )\).
• C)
• Moves once counterclockwise along the ellipse \(\frac { x ^ { 2 } } { 5 } + \frac { y ^ { 2 } } { 8 } = 1\) starting and ending at \(( - 5,0 )\)
• D)
• Moves once clockwise along the ellipse \(\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 25 } = 1\) starting and ending at \(( 0,5 )\).
• E) Moves once clockwise along the circle \(( 8 x ) ^ { 2 } + ( 5 y ) ^ { 2 } = 1\) starting and ending at \(( 0,5 )\).

Describe the physiological basis and types of equilibrium and their importance in body orientation.

Understand the different types of sensory receptors based on the origin of stimuli and their roles in the sensory system.

Discuss the mechanisms underlying chemoreception, particularly in taste and smell.

Explain the role of the central nervous system in processing sensory information.

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Definitions:

Fast Mapping

A process by which children learn new words after only a brief encounter, connecting it with their own mental categories.

Logical Extension

A strategy children use to increase their vocabulary in which they extend a new word to other objects in the same category.

False Belief Tasks

Are cognitive exercises used primarily in developmental psychology to assess an individual's understanding that others can hold beliefs different from reality.

Egocentric Problem Solvers

A characteristic of early childhood cognitive development where individuals can only see situations from their own perspective.