The Position Vector of a Particle Is R(t) $t = 4$

question 127

Multiple Choice

The position vector of a particle is r(t) . Find the requested vector.
-The velocity at $t = 4$ for $\mathbf { r } ( \mathrm { t } ) = \left( 8 - 4 \mathrm { t } ^ { 2 } \right) \mathbf { i } + ( 6 \mathrm { t } + 2 ) \mathbf { j } - \mathrm { e } ^ { - 3 \mathrm { t } } \mathbf { k }$

• A) \(\mathbf { v } ( 4 ) = - 32 \mathbf { i } + 6 \mathbf { j } - 3 \mathrm { e } ^ { - 12 } \mathbf { k }\)
• B) \(\mathbf { v } ( 4 ) = - 32 \mathbf { i } + 6 \mathbf { j } + 3 \mathrm { e } ^ { - 12 } \mathbf { k }\)
• C) \(\mathbf { v } ( 4 ) = 32 \mathbf { i } + 6 \mathbf { j } + 3 \mathrm { e } ^ { - 12 } \mathbf { k }\)
• D) \(\mathbf { v } ( 4 ) = - 16 \mathbf { i } + 6 \mathbf { j } + 3 \mathrm { e } ^ { - 12 } \mathbf { k }\)

---

Definitions:

Swipe

In the digital context, a gesture or action used to interact with touchscreens by moving a finger or hand across the surface.

At-will Employees

Workers who may be hired and dismissed by their employers at any time and for any reason that is not illegal, without the need for just cause.

Lifelong Employees

Employees who spend the majority or entirety of their career working within the same organization, reflecting a long-term commitment.

Job Market

The marketplace in which employers search for employees and employees search for jobs; characterized by the supply and demand for labor.