Let the Velocity of a Particle Be $\mathbf { v } ( t ) = \mathbf { i } + t \mathbf { j }$

question 43

Multiple Choice

Let the velocity of a particle be $\mathbf { v } ( t ) = \mathbf { i } + t \mathbf { j }$ , and let its position when t = 0 be $\mathbf { r } ( 0 ) = \mathbf { j } + 2 \mathbf { k }$ . Find its position when t = 2.

• A) \(3 \mathbf { i } + 3 \mathbf { j } + 2 \mathbf { k }\)
• B) \(2 \mathbf { i } + 3 \mathbf { j } + 2 \mathbf { k }\)
• C) \(3 \mathbf { i } + 2 \mathbf { j } + 2 \mathbf { k }\)
• D) \(3 \mathbf { i } + 2 \mathbf { j } + 3 \mathbf { k }\)
• E) \(3 \mathbf { i } + 4 \mathbf { j } + 2 \mathbf { k }\)
• F) \(2 \mathbf { i } + 4 \mathbf { j } + 2 \mathbf { k }\)
• G) \(4 \mathbf { i } + 2 \mathbf { j } + 2 \mathbf { k }\)
• H) \(4 \mathbf { i } + 3 \mathbf { j } + 2 \mathbf { k }\)

---

Definitions:

C

A general-purpose programming language that provides constructs that map efficiently to typical machine instructions.

Metric Unit

A standard unit of measure in the International System of Units (SI), used globally for scientific and standard measurements.

Micro-

A prefix denoting a factor of one millionth, or pertaining to small, often microscopic, phenomena.

Divided

Separated into parts or pieces; often referring to opinions, countries, or territories.