A Particle Is Moving in a Straight Line and Its $v ( t ) = 3 t ^ { 2 } - 12 t + 9,$

question 114

Short Answer

A particle is moving in a straight line and its velocity is given by $v ( t ) = 3 t ^ { 2 } - 12 t + 9,$ where t is measure in seconds and v in meters per second. Find the distance traveled by the particle during the time interval $[ 0,5 ]$ .

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Definitions:

Break-even Sales

Break-even sales represent the amount of revenue needed to cover all fixed and variable costs, indicating the point at which a business neither makes a profit nor incurs a loss.

Break-even Sales

The level of sales at which a business generates revenue exactly equal to its costs, resulting in no profit or loss.

Consumer Division

A segment within a company focused on selling products and services directly to consumers, as opposed to business or commercial clients.

Break-even Sales

The amount of revenue needed to cover both the variable and fixed costs of a business, resulting in neither profit nor loss.