A. How Long Did It Take You to Complete the Course?

Name______Team______Period______

Cruisin’

For this activity, a course needs to be set up with each meter marked from the starting line to the finish line.

1. Walk the course at a constant pace of one meter per second. The teacher will call out the time every second. a. How long did it take you to complete the course?

b. Where were you at each second? Make a chart to respond to this question.

c. On a sheet of graph paper, construct a graph of your position (location) as a function of time. Plot position on the vertical axis and time on the horizontal axis.

d. Have your graph checked by the teacher before going on. Did you put a scale on the vertical axis? Did you label the vertical axis as position? Did you label the units for the vertical scale? Did you put a scale on the horizontal axis? Did you label the horizontal as time? Did you label the units for the horizontal scale? Should you connect the points on the graph? Give your reasoning.

2. Now do the course at a constant pace of two meters per second. a. Did you have to walk or run?

b. Where were you at each second? Make a chart to respond to this question. c. Graph this motion on the same set of axes as your first trial in #1. Be sure to label this graph as Trial #2. d. Let y represent your position and x represent the time. Write an equation that relates y to x.

e. Show that your equation works.

d. If you continued at this pace, how long would it take you to go once around the school’s track (1/4 mile or 400 meters.) Explain how you came up with your response.

e. If you continued at this pace, how long would it take you to go one mile? Again, explain how you arrived at your answer.

f. If you continued at this pace, how long would it take you to walk home? Explain how you got your answer, of course. 3. Now do the course at a constant pace of four meters per second. a. Did you have to walk or run?

b. Graph this motion on the same set of axes as your first two trials. Label this graph as Trial #3.

c. If you continued at this pace, how far would you go in one minute? Answer in meters. Show how you came up with your answer.

d. If you continued at this pace, how far would you go in one minute? This time, answer in miles. Show how you came up with your answer.

e. Let y represent your position in meters and x represent the time in seconds. Write an equation that relates y to x for Trial #3.

f. Use your equation from part (e) to redo your answer to part (c). Show your work. 4. Now do the course at a constant pace of six meters per second. a. Did you have to walk or run?

b. If you could run at this pace for 100 meters, how long would it take you? Explain how you got your answer.

5. Run the course as fast as you can. Have a partner time you with a stopwatch. a. What was your time?

b. Did you go at a constant pace?

c. What was your average speed in meters per second? Answer to the nearest tenth. Be sure to show how you came up with your answer.

d. How would the graph of this trial be different from the graphs of the first three trials?

6. Add Trial #5 to your graph and label it.

7. Should your graph of Trial #5 be a straight line? Explain.