Find the Velocity of a Particle with the Given Position $$\mathbf { r } ( t ) = 19 e ^ { 5 t } \mathbf { i } + 5 e ^ { - 21 t } \mathbf { j }$$

question 96

Multiple Choice

Find the velocity of a particle with the given position function.
$$\mathbf { r } ( t ) = 19 e ^ { 5 t } \mathbf { i } + 5 e ^ { - 21 t } \mathbf { j }$$

• A) \(\mathbf { v } ( t ) = 19 e ^ { 5 t } \mathbf { i } + e ^ { - 21 t } \mathbf { j }\)
• B) \(\mathbf { v } ( t ) = 95 e ^ { 5 t } \mathbf { i } - 105 e ^ { - 21 t } \mathbf { j }\)
• C) \(\mathbf { v } ( t ) = 19 e ^ { 5 t } \mathbf { i } - 105 e ^ { - 21 t } \mathbf { j }\)
• D) \(\mathbf { v } ( t ) = e ^ { 5 t } \mathbf { i } + 105 e ^ { - 21 t } \mathbf { j }\)
• E) \(v ( t ) = 95 e ^ { 5 t } \mathbf { i } + 105 e ^ { - 21 t } \mathbf { j }\)

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Definitions:

Return on Assets

A profitability ratio that measures how efficiently a company can generate profit from its assets.