- Introduction This Exercise Has Two Purposes First It Is A Good Review Of Constructing A Graph Second It Will Show Yo 1 (71.75 KiB) Viewed 37 times
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Introduction This exercise has two purposes. First, it is a good review of constructing a graph. Second, it will show you how to determine acceleration from distance and time data. If you do not understand any of the steps below, please consult your professor for help. The following data represents the position of an object as time passes. Think of the x values as readings on a 2- meter stick. (cm) 0 5 20 45 80 125 0 1 2 3 4 5 Notice that the distance covered during the 4th second is 35 cm. It moved from the 45 cm mark to the 80 cm mark during the 4th second. How far did it move during the 2nd second? If you say 15 cm, you understand how to interpret the data. Analysis 1. Draw horizontal and vertical axes on a full page. 2. Label each axis with the variable being plotted and its units. Plot time on the horizontal axis. 3. Put an appropriate numerical scale on each axis. 4. Plot the six points. 5. Draw a smooth curve through or near the points. (You should not have a straight line.) 6. Give your graph a title. 7. Now calculate the average velocity during each of the one-second intervals shown above using: ν= Δx/ΔΙ 8. On a new sheet of graph paper, graph these average velocities vs. time as in steps 1 - 6. These average velocities are instantaneous velocities that occur at the halfway point of the time interval; therefore, use time values of 0.5, 1.5, 2.5, 3.5, and 4.5 seconds. 9. Determine the slope of this straight line in em's.