A Particle Moves with Position Function $\mathbf { r } ( t ) = \left( 21 t - 7 t ^ { 3 } - 5 \right) \mathbf { i } + 21 t ^ { 2 } \mathbf { j }$

question 119

Short Answer

A particle moves with position function $\mathbf { r } ( t ) = \left( 21 t - 7 t ^ { 3 } - 5 \right) \mathbf { i } + 21 t ^ { 2 } \mathbf { j }$
Find the tangential component of the acceleration vector.

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Definitions:

Stirrup

A ring or frame, hanging down from the saddle of a horse, for a rider's foot.

Auditory Receptors

Auditory receptors are specialized cells located in the inner ear that convert sound waves into electrical signals, which are then interpreted by the brain as sound.

Neural Impulses

Electrical signals that travel along neurons, enabling communication between different parts of the nervous system.

Hair Cells

Sensory cells located in the inner ear that are responsible for converting sound vibrations into neural signals.