Analysis of Procedure 3
1. If the graph of distance vs. time from Procedure 3 is nonlinear, square the time; and plot the graph of distance vs. time squared.
2. Describe the relationship between time and distance in the language of direct proportions.
3. From the relationship between distance and time can you find the time for a distance of 75 cm? Explain your reasoning.
4. If you said that you cannot find the time for a distance of 75 cm, can you use another relationship to find the time for that distance? If so, which one?
5. Use the relationship and find the time for a distance of 75 cm. Is this interpolation or extrapolation?
6. From the relationship between distance and time can you find the time for a distance of 200 cm? Explain your reasoning.
7. If you said that you cannot find the time for a distance of 200 cm, can you use another relationship to find the time for that distance? If so, which one?
8. Use the relationship and find the time for a distance of 200 cm. Is this interpolation or extrapolation?
Data:
Distance (cm) | 20 | 40 | 60 | 80 | 100 | 120 | 140 | 160 |
Time (sec2) | 3:61 | 6:55 | 9:73 | 12:89 | 16:24 | 19:98 | 23:81 | 27:56 |
1.
2. Distance now if initial velocity u=0 then that is distance is proportional to square of time
3. take cursor at y axis=75. that is t^2.take root of this for t.
4. take slop on the distance vs t^2 graph. slope is f. then distance 75. then 75/slope is t^2. the take root of t^2. that time for s=75 cm.
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