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:

Indirect Method

A technique used in cash flow statements to adjust net income for non-cash transactions, deferrals, and accruals to compute operating cash flow.

Depreciation Expense

The allocation of the cost of a tangible asset over its useful life, reflecting the loss of value over time.

Current Assets

Assets that are expected to be converted into cash, sold, or consumed within one year or the operating cycle, whichever is longer.

Current Liabilities

Short-term financial obligations that are due within one year or within the normal operating cycle of the business.