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) \(4 \mathbf { i } + 3 \mathbf { j } + 2 \mathbf { k }\)

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Definitions:

Action Potentials

Rapid, short-duration electrical impulses in a neuron or muscle cell, which allow for the transmission of information and signals.

Na⁺ Ions

Sodium ions, which are essential for various physiological processes including nerve impulse conduction and muscle contraction.

K⁺ Ions

Potassium ions, essential for numerous body functions including nerve signal transmission and muscle contraction.

Bipolar Method

A technique often used in electrotherapy and electrophysiology involving two electrodes of opposite charges being applied to the body to create an electric field for therapeutic or diagnostic purposes.