The Position Vector of a Particle Is R(t) $t = 0$

question 108

Multiple Choice

The position vector of a particle is r(t) . Find the requested vector.
-The velocity at $t = 0$ for $\mathbf { r } ( \mathrm { t } ) = \ln \left( \mathrm { t } ^ { 3 } - 3 \mathrm { t } ^ { 2 } + 4 \right) \mathbf { i } - \sqrt { 2 \mathrm { t } + 36 } \mathbf { j } - 5 \cos ( \mathrm { t } ) \mathbf { k }$

• A) \(\mathbf { v } ( 0 ) = \frac { 1 } { 4 } \mathbf { i } - \frac { 1 } { 6 } \mathrm { j }\)
• B) \(\mathbf { v } ( 0 ) = \frac { 1 } { 6 } \mathbf { j }\)
• C) \(\mathbf { v } ( 0 ) = - \frac { 1 } { 6 } \mathrm { j }\)
• D) \(\mathbf { v } ( 0 ) = \frac { 1 } { 4 } \mathbf { i } - \frac { 1 } { 12 } \mathbf { j } + 5 \mathbf { k }\)

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Definitions:

Collective Unconscious

A concept in psychoanalytic theory referring to a part of the unconscious mind shared among beings of the same species containing universal experiences.

Memories

The mental faculty for recalling or recognizing previous experiences or information.

Behavior Patterns

Behavior patterns refer to recurrent ways of acting or responding that are characteristic of an individual or group.

Dominant Source

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