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

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:

Self-Awareness

Acknowledgement of one's own identity, affective states, reasons for action, and desires.

Psychological Adjustment

The process of psychological change that a person undergoes to become more adept at coping with difficult situations and life in general.

Psychodynamic Therapy

A therapeutic approach emphasizing unconscious psychological processes and their influence on human behavior and feelings.

Mixed Feelings

Having contradictory emotions about something at the same time, such as happiness and sadness.