Suppose you work at an amusement park. Your boss has asked you to determine the "people current," a measurement of moving people coming through the entrance of the park.

a) what would be the units of "people current?"

b) what information would "people current" provide?

c) explain how it would be possible to have a higher current but a lower average speed at one time and a lower current but higher average speed at another time.

Thank you!

a) The units of "people current" would typically be measured as the number of people per unit of time, such as people per hour or people per minute.

b) "People current" provides information about the flow or rate at which people enter the amusement park. It helps in understanding the volume of visitors entering the park over a specific period of time.

c) It is possible to have a higher current (more people entering) but a lower average speed at one time, and a lower current (fewer people entering) but a higher average speed at another time due to variations in the behavior and movement patterns of visitors.

For example, during a peak time or when there is a special event at the park, there could be a larger number of visitors entering, resulting in a higher current. However, the individual visitors may move slower due to congestion or longer queues at the entrance, which would result in a lower average speed.

On the other hand, during less busy periods or when there are fewer visitors entering, the current may be lower. But with fewer people, there may be less congestion and shorter queues, allowing the individuals to move at a higher average speed.

Therefore, the relationship between people current and average speed is not always directly proportional. It depends on various factors such as the number of visitors, congestion, queues, and overall flow of people at different times.