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

question 93

Multiple Choice

Find the scalar tangential and normal components of acceleration of a particle with position vector $\mathbf { r } ( t ) = 3 \sin t \mathbf { i } + 3 \cos t \mathbf { j } + 5 t \mathbf { k }$

• A) \(\quad a _ { \mathbf { T } } = 0 , a _ { \mathrm { N } } = 3\)
• B) \(a _ { \mathbf { T } } = 5 , a _ { \mathbf { N } } = 3\)
• C) \(a _ { \mathbf { T } } = 0 , a _ { \mathrm { N } } = 3 \sqrt { 26 }\)
• D) \(a _ { \mathbf { T } } = 5 , a _ { \mathrm { N } } = 3 \sqrt { 26 }\)

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Definitions:

Colour Vision

The ability of the eye and brain to distinguish objects based on the wavelengths (or frequencies) of the light they reflect or emit.

Cones

Photoreceptor cells in the retina of the eye responsible for color vision and visual acuity under bright light conditions.

Regulate

To control or maintain the rate or speed of a machine or process so that it operates properly.

Pupil

The opening in the center of the iris of the eye that adjusts in size to regulate the amount of light reaching the retina.