Find $\mathbf { r } ^ { \tt } ( t )$

question 37

Multiple Choice

Find $\mathbf { r } ^ { \tt } ( t )$ for the function given.
$\mathbf { r } ( t ) = 8 \mathbf { i } + \sin t \mathbf { j } + \cos t \mathbf { k }$

• A) \(\mathrm { r } ^ { tt } ( t ) = - 8 \sin t \mathrm { j } - \cos t \mathrm { k }\)
• B) \(\mathrm { r } ^ { tt} ( t ) = - \sin t \mathrm { j } - \cos t \mathrm { k }\)
• C) \(\mathrm { r } ^ { tt } ( t ) = \cos t \mathrm { j } - \sin t \mathrm { k }\)
• D) \(\mathrm { r } ^ { tt } ( t ) = - \sin t \mathrm { j } + 8 \cos t \mathrm { k }\)
• E) \(\mathrm { r } ^ { tt } ( t ) = - 8 \cos t \mathrm { j } - \sin t \mathrm { k }\)

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Definitions:

Urbanization

The process by which rural areas become urban, involving an increase in the percentage of people living in urban areas compared to rural areas.

Money Economy

A system where goods and services are exchanged primarily through the medium of money, rather than through barter.

Intrinsic Power

The capability or influence derived from an individual's inherent qualities or position, not dependent on external factors.

Military Power

The capacity of a nation's armed forces to use force or the threat of force to control situations and achieve specific objectives, often influencing international relations.