Question

A girl on a runs down a hill 400 meters. Then the girl runs up the hill 50 meters and falls down. The entire trip lasted 50 seconds. What is the average velocity of the girl? SHOW your work including equation used, work and answer with units.

Answer 1

The girl's average velocity is 7 meters per second (m/s), calculated by dividing the net displacement of 350 meters by the total time of 50 seconds.

Step-by-step explanation:

To find the average velocity of the girl, we have to use the definition of average velocity, which is the total displacement divided by the total time taken. In this scenario, the girl runs down the hill 400 meters and then back up 50 meters, resulting in a net displacement of (400 - 50) meters. Therefore, her displacement is 350 meters. Given that the entire trip lasted 50 seconds, the average velocity can be calculated by dividing the displacement by the time.

Average velocity = Displacement / Time

Average velocity = 350 m / 50 s

Average velocity = 7 m/s

So, the girl's average velocity over the course of her trip is 7 meters per second (m/s).