The Position Vector of a Particle Is R(t) $t = \frac { \pi } { 4 }$

question 50

Multiple Choice

The position vector of a particle is r(t) . Find the requested vector.
-The acceleration at $t = \frac { \pi } { 4 }$ for $r ( t ) = ( 2 \sin 2 t ) \mathbf { i } - ( 2 \cos 2 t ) \mathbf { j } + ( 5 \csc 2 t ) \mathbf { k }$

• A) \(a \left( \frac { \pi } { 4 } \right) = 8 i + 20 k\)
• B) \(a \left( \frac { \pi } { 4 } \right) = - 8 i + 20 k\)
• C) \(\left( \frac { \pi } { 4 } \right) = - 8 \mathbf { i } - 20 \mathbf { k }\)
• D) \(a \left( \frac { \pi } { 4 } \right) = 8 \mathbf { j } + 20 \mathbf { k }\)

---

Definitions:

Liability

A legal responsibility or obligation, often in financial terms, that a person or entity has to another.

Business Risk

The exposure to factors that may cause a business to experience lower profits or financial loss, including market competition, regulatory changes, and operational failures.

Endowment Management

The process of overseeing and making investment decisions for an endowment fund to ensure its ability to support a particular organization or cause over time.

Bookkeeping

The practice of recording all financial transactions, ensuring accuracy and completeness in the financial records of an organization.