$\text { What force is required so that a particle of mass } m \text { has the following position function? }$

question 47

Multiple Choice

$\text { What force is required so that a particle of mass } m \text { has the following position function? }$ $$\mathrm { r } ( t ) = 5 t ^ { 3 } \mathbf { i } + 10 t ^ { 2 } \mathbf { j } + 7 t ^ { 3 } \mathbf { k }$$

• A) \(\mathrm { F } ( t ) = 30 m t \mathbf { i } + 20 m \mathbf { j } + 42 m t \mathbf { k }\)
• B) \(\mathrm { F } ( t ) = 30 m t ^ { 2 } \mathbf { i } + 20 m \mathbf { j } + 42 m t \mathbf { k }\)
• C) \(\mathrm { F } ( t ) = 42 m t \mathbf { i } + 42 m \mathbf { j } + 20 m t \mathbf { k }\)
• D) \(\mathrm { F } ( t ) = m t ^ { 2 } \mathbf { i } + 5 m t \mathbf { j } + 10 m t ^ { 2 } \mathbf { k }\)
• E) \(\mathrm { F } ( t ) = 30 m t \mathbf { i } + 20 \mathrm {~m} \mathbf { j } + t \mathbf { k }\)

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Definitions:

Grinders

Machines or tools designed for grinding various materials into finer particles or powders.

Income Distribution

The way in which a nation’s total GDP is spread amongst its population, affecting economic disparity and levels of poverty and wealth within society.

Demographic Variable

An individual characteristic that can be used to segment populations, such as age, gender, income, or marital status, for analysis or marketing purposes.

Unevenly Distributed

Refers to a situation where resources, values, or qualities are not spread out evenly or uniformly across a given area or among a group.