A Particle Moves with Position Function $\mathbf { r } ( t ) = \left( 21 t - 7 t ^ { 3 } - 5 \right) \mathbf { i } + 21 t ^ { 2 } \mathbf { j }$

question 14

Multiple Choice

A particle moves with position function $\mathbf { r } ( t ) = \left( 21 t - 7 t ^ { 3 } - 5 \right) \mathbf { i } + 21 t ^ { 2 } \mathbf { j }$ . Find the tangential component of the acceleration vector.

• A) \(a _ { T } = 5 t\)
• B) \(a _ { T } = 542 t\)
• C) \(a _ { T } = 42 t + 5\)
• D) \(a _ { T } = - 55 t\)
• E) \(a _ { T } = 42 t\)

---

Definitions:

Note Payable

A formal written agreement to pay a specified amount of money, often including interest, by a certain date.

Payout Percentage

The proportion of earnings paid out to shareholders as dividends, usually expressed as a percentage of the company's total net income.

Chapter 11 Bankruptcy

A reorganization and rehabilitation form of bankruptcy for businesses, allowing them to continue operations while restructuring debts under court supervision.

Income Statement

A financial statement that shows a company's revenue and expenses over a specific period, leading to the net profit or loss for the period.