Find the Scalar Tangential and Normal Components of Acceleration of a Particle

question 22

Multiple Choice

Find the scalar tangential and normal components of acceleration of a particle with position vector $\mathbf { r } ( t ) = 4 \sin t \mathbf { i } + 4 \cos t \mathbf { j } + 3 t \mathbf { k }$

• A) \(a _ { \mathrm { T } } = 0 , a _ { \mathrm { N } } = 4 \sqrt { 10 }\)
• B) \(a _ { \mathrm { T } } = 3 , a _ { \mathrm { N } } = 4 \sqrt { 10 }\)
• C) \(a _ { \mathrm { T } } = 3 , a _ { \mathrm { N } } = 4\)
• D) \(a _ { T } = 0 , a _ { N } = 4\)

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Definitions:

Epilepsy

A neurological disorder marked by sudden, recurrent episodes of sensory disturbance, loss of consciousness, or convulsions, associated with abnormal electrical activity in the brain.

Split-Brain Operation

A surgical procedure that separates the brain's two hemispheres by cutting the corpus callosum, often used to treat severe epilepsy.

Corpus Callosum

A large band of nerve fibers connecting the left and right hemispheres of the brain, facilitating communication and coordination between the two sides.

Hemisphere

One half of a spherical or roughly spherical object, often used to refer to one of the two halves of the brain.