The Position Vector of a Particle Is R(t) $t = 1$

question 129

Multiple Choice

The position vector of a particle is r(t) . Find the requested vector.
-The acceleration at $t = 1$ for $\mathbf { r } ( \mathrm { t } ) = \mathrm { t } ^ { 5 } \mathbf { i } + 7 \ln \left( \frac { 1 } { 4 + \mathrm { t } } \right) \mathbf { j } + \frac { 3 } { \mathrm { t } } \mathbf { k }$

• A) \(\mathbf { a } ( 1 ) = 20 \mathbf { i } - 7 \mathbf { j } - 6 \mathbf { k }\)
• B) \(\mathbf { a } ( 1 ) = 20 \mathbf { i } + \frac { 7 } { 25 } \mathbf { j } + 6 \mathbf { k }\)
• C) \(\mathbf { a } ( 1 ) = 20 \mathbf { i } + \frac { 7 } { 25 } \mathbf { j } - 6 \mathbf { k }\)
• D) \(\mathbf { a } ( 1 ) = 20 \mathbf { i } + 7 \mathbf { j } + 6 \mathbf { k }\)

---

Definitions:

Social Division

The segregation of society into groups based on socioeconomic, racial, ethnic, or other distinctions, often leading to inequality and tension.

White Virginia Families

Refers to elite family networks within colonial Virginia, notable for their influence in social, economic, and political spheres during the 17th and 18th centuries.

Owned

colloquially refers to having something under one's possession or control, but in internet slang, it also means to decisively defeat or humiliate someone.

1770

A year marked by historical events such as the Boston Massacre, which played a significant role in escalating tensions leading to the American Revolutionary War.