Use the Given Acceleration Function and Initial Conditions to Find $= 1$

question 39

Multiple Choice

Use the given acceleration function and initial conditions to find the position at time t $= 1$ , $\mathbf { a } ( t ) = 6 \mathbf { i } + 10 \mathbf { j } + 8 \mathbf { k } , \quad \mathbf { v } ( 0 ) = 4 \mathbf { k } , \quad \mathbf { r } ( 0 ) = \mathbf { 0 }$

• A) \(\mathbf { r } ( 1 ) = 3 \mathbf { i } + 9 \mathbf { j } - 8 \mathbf { k }\)
• B) \(\mathbf { r } ( 1 ) = 3 \mathbf { i } + 5 \mathbf { j } - 8 \mathbf { k }\)
• C) \(\mathbf { r } ( 1 ) = 3 \mathbf { i } + 5 \mathbf { j } + 8 \mathbf { k }\)
• D) \(\mathbf { r } ( 1 ) = 3 \mathbf { i } + 5 \mathbf { j } + 4 \mathbf { k }\)
• E) \(\mathbf { r } ( 1 ) = 7 \mathbf { i } + 5 \mathbf { j } + 8 \mathbf { k }\)

---

Definitions:

Temporal Lobes

Portions of the brain located on both sides of the head above the ears, involved in processing sensory input into derived meanings for the appropriate retention of visual memory, language comprehension, and emotion association.

Frontal Lobes

The Frontal Lobes are the region of the brain located at the front of each cerebral hemisphere, responsible for decision making, problem solving, control of purposeful behaviors, consciousness, and emotions.

Reticular Formation

A network of neurons located in the brainstem that plays a crucial role in controlling arousal and sleep-wake cycles.

Electrode

A conductor through which electricity enters or leaves an object, substance, or region, typically used for measuring or applying electrical impulses in various fields like neuroscience and engineering.