Question

1. an overhead snapshot of dorothy and toto walking along the yellow brick road is shown below.

a. from start to finish, who travels farther? justify your answer.
b. develop two different definitions for measuring \how far\ something travels.

Explanation:

Step1: Analyze the paths

Dorothy (D) has a straight path. Toto (T) has a curved path. Curved paths are generally longer than straight - line paths between the same start and end points.

Step2: Define measurement terms

• Distance: The total length of the path traveled. For example, if we consider the path as a series of line segments (in case of a curved path approximated by many small line segments), we sum up their lengths.
• Displacement: The straight - line distance from the start point to the end point. It only depends on the initial and final positions.

Answer:

a. Toto travels farther. Because Toto's path (curved) is longer than Dorothy's straight path.
b.

• Definition 1 (Distance): The total length of the trajectory followed by an object from start to finish.
• Definition 2 (Displacement): The straight - line distance between the initial and final positions of an object.