BuyFind*launch*

6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 2.4, Problem 31E

a.

To determine

To find the average speed of each winner.

Expert Solution

The average speed of each of the winner is

**Given information: **

The graph provided in the question shows the distance as a function of time for each of the three winners.

**Calculation:**

Since, each of the winner reached finished the race at the same time that is at

So, the average speed of each of the winner must be same.

Therefore,

At

At

Average speed of each of the winner is obtained as:

Hence,

The average speed of each of the winner is

b.

To determine

To explain the difference between the ways in which the three runners ran the race.

Expert Solution

The differencebetween the ways in which the three runners ran the race is that the runner A ran the first half of the race with a higher speed that is

**Given information: **

The graph provided in the question shows the distance as a function of time for each of the three winners.

The graph showing the distance travelled by the runner at different time interval.

Since, each of the winner reached finished the race at the same time that is at

So, the average speed of each the winner must be same

Therefore

At, t-0 sec, m.

At sec, distance traveled-100 m.

Average speed of each of the winner is obtained as

Hence,

The average speed of each of the winner is 10m/sec.

From the above graph, it can be observed that, distance travelled by A at

Time elapsed

Average speed of runner A from 0 to 5 second is obtained as:

Average speed of runner B from 0 to 5 second is obtained as:

Average speed of runner C from 0 to 5 second is obtained as:

Similarly,

Average speed of runner A from 5 to 10 second is obtained as:

Average speed of runner B from 5 to 10 second is obtained as:

Average speed of runner C from 5 to 10 second is obtained as:

Hence,

It can be concluded easily that the differencebetween the ways in which the three runners ran the race is that the runner A ran the first half of the race with a higher speed that is