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Two sprinters run a 50 m race. People time them at various spots along the race. The data is listed below. Graph the data. Position

Two sprinters run a 50 m race. People time them at various spots along the race. The data is listed below. Graph the data.

Position Person A Person B
0 0 0
0.5 0.21 0.32
1.0 0.35 0.51
1.5 0.50 0.69
2.0 0.60 0.74
2.5 0.66 0.86
3.0 0.71 0.96
3.5 0.76 1.0

4.0

8.0

12

20

25

30

40

45

50

0.81

1.2

1.6

2.4

2.9

3.4

4.5

5.8

8.2

1.0

1.3

1.6

2.2

2.6

3.0

3.8

4.2

4.6

1. How to make a graph on the grid paper?

2. For person A, label the parts or graph as changing or constant speed.

3. For the straight line section of each runner, find the speed of the runner by finding the slope. (Look up how to find the slope if you don't know procedure and slope formula) Show all work!

4. In the curved section of one of the lines, pick a point and find the instantaneous speed. (Draw a tangent line to the curve and find the slope of that line. Look up how to draw a tangent line to a curve if you don't know the procedure, then find the slope of this line.) Show all work!`

5. If you were the coach for Runner A, what would you work on and why (explain using the graph)?

6. If you were the coach for Runner B, what could you work on and why (explain from the graph)

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