Find the Velocity and Position Vectors of an Object with Acceleration

question 70

Short Answer

Find the velocity and position vectors of an object with acceleration $\mathbf { a } ( t ) = 4 \mathbf { i } - 72 \mathbf { j } + ( 72 t + 4 ) \mathbf { k }$ , initial velocity $\mathbf { v } ( 0 ) = \mathbf { i } + \mathbf { k }$ , and initial position $\mathbf { r } ( 0 ) = \mathbf { j } + 3 \mathbf { k }$ .

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Definitions:

Profit Maximized

The point at which a firm achieves the highest possible profit, typically by adjusting output levels or prices.

Total Revenue

The total amount of money that is brought in by sales of goods or services.

Total Cost

The complete cost of production, encompassing both fixed and variable costs.

Marginal Revenue

The incremental revenue acquired by a business upon selling one more unit of a good or service.