Find the Speed of a Particle with the Given Position $\mathbf { r } ( t ) = 5 \sqrt { 2 } t \mathbf { i } + e ^ { 5 t } \mathbf { j } - e ^ { - 5 t } \mathbf { k }$

question 18

Multiple Choice

Find the speed of a particle with the given position function. $\mathbf { r } ( t ) = 5 \sqrt { 2 } t \mathbf { i } + e ^ { 5 t } \mathbf { j } - e ^ { - 5 t } \mathbf { k }$

• A) \(| v ( t ) | = 5 \left( e ^ { 5 t } + e ^ { - 5 t } \right)\)
• B) \(| v ( t ) | = \left( e ^ { 5 t } + e ^ { - 5 t } \right)\)
• C) \(| v ( t ) | = \sqrt { 5 + 5 e ^ { t } + 5 e ^ { - t } }\)
• D) \(| v ( t ) | = 5 \left( e ^ { t } + e ^ { - t } \right)\)
• E) \(| v ( t ) | = \sqrt { 5 + e ^ { 5 t } + e ^ { - 50 t } }\)

Understand the challenges in changing children's beliefs and the role of assimilation and accommodation.

Recognize the significance of culture and mediated learning in acquiring language and cognitive development.

Explain the role of private speech in cognitive development and self-regulation.

Understand the various organizational structures and their characteristics.

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