Question

Maria runs due east in a straight line with an average speed of 1.25 m/s for 5.01 min. Then she continues in the same straight-line

direction with an average speed of 1.06 m/s for 4.45 min.
Calculate Maria's total displacement.

Answer 1

To calculate Maria's total displacement, we can calculate the distance traveled in each part and then sum them up. In the first part, Maria traveled 6.2625 meters, and in the second part, she traveled 4.707 meters. Therefore, her total displacement is 10.9695 meters.

Step-by-step explanation:

To calculate Maria's total displacement, we need to consider the distance she traveled in the first part and the distance she traveled in the second part. In the first part, her average speed is 1.25 m/s and she traveled for 5.01 minutes. Using the formula distance = speed * time, we can calculate her distance in the first part as (1.25 m/s) * (5.01 min) = 6.2625 meters. Similarly, in the second part, her average speed is 1.06 m/s and she traveled for 4.45 minutes, giving a distance of (1.06 m/s) * (4.45 min) = 4.707 meters. Therefore, her total displacement is the sum of these two distances, which is 6.2625 meters + 4.707 meters = 10.9695 meters.

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