Margot is walking in a straight line from a point 20 feet due east of a statue in a park toward a point 12 feet due north of the statue. She walks at a constant speed of 5 feet per second. (a) Write parametric equations for Margot's position t seconds after she starts walking.

a) ,

Step-by-step explanation:

Let consider +x and +y the north and east directions. Given that Margot travels at constant speed, the formula is:

Where:

- Time, in seconds.

- Travelled distance, in meters.

The traveled distance is:

a) The parametric equations are described below:

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she will travel a distance in the range of 3 - 11 miles