Find the Velocity, Acceleration, and Speed of an Object with Position

question 65

Short Answer

Find the velocity, acceleration, and speed of an object with position function $\mathbf { r } ( t ) = 4 \sin t \mathbf { i } + \cos t \mathbf { j }$ for $t = \frac { \pi } { 4 }$ Sketch the path of the object and its velocity and acceleration vectors.

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Definitions:

Customer Loyalty Rate

A metric that measures the proportion of customers who repeatedly purchase from a brand over a specific period, indicating their loyalty.

Market Share

The percentage of total sales in an industry generated by a particular company, indicating its size and competitiveness in the market.

Customer Retention Rates

A metric that measures the percentage of customers who remain with a company over a given period of time, indicating the effectiveness of customer loyalty and retention strategies.

Behavioral Loyalty

Behavioral Loyalty refers to the observable actions of consumers repeatedly purchasing or engaging with the same brand based on positive experiences or satisfaction.