Q. 49 - Calculus

Question

Think about what you did today and how far north you were from your house or dorm throughout the day. Sketch a graph that represents your distance north from your house or dorm over the course of the day, and explain how the graph reflects what you did today. Then sketch a graph of your velocity.

Step-by-Step Solution

Answer

Ans:    The velocity graph for the function can be drawn as follows:

Step 1. Given information.

give,  

      Think about what you did today and how far north you were from your house or dorm throughout the day. 

Sketch a graph according to the question.

Step 2. Consider the graph that represents the distance from the house to the north.

In this graph point, A represents the position of the person, and point B represents the place where the person resides. He moves towards A for buying grocery items for the home. He follows the path that has been shown in the graph. On his way, he stops to refill his car, then takes tea in the tea stall, and at last, he came to A for buying the goods.

Step 3. The Sketch is:

The velocity graph for the function can be drawn as follows: