(II) Not we have a slightly more complicated set of data, for position vs time: Time...

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(II) Not we have a slightly more complicated set of data, for position vs time: Time t (sec) 0.5 Position y (m) 0.6 1.3 4.2 0.E 2.1 11 % 2.8 20 0.10 3.4 29 8.01 0.0 4.1 42 0.7 5.5 76 S.IS 0.8 6.3 99 0.0 1. Plot the values of position vs time. What is the shape of the graph? 2. What shape you expect to obtain when you plot y vs. t? Make this plot. 3. Using these two plots, derive a mathematical relationship expressing the time dependence of y; it will help for you to write down the slope with correct units for the graph of y vs t. Explain this position-time relationship clearly in your lab report, noting the physical significance of any terms which appear in your expression. 4. Compute slope of the original plot y vs t at time t=2.0 sec. To help you do this, consider what is the physical significance of this slope (write your answer down). Give the proper units of the slope.woll (II) Not we have a slightly more complicated set of data, for position vs time: Time t (sec) 0.5 Position y (m) 0.6 1.3 4.2 0.E 2.1 11 % 2.8 20 0.10 3.4 29 8.01 0.0 4.1 42 0.7 5.5 76 S.IS 0.8 6.3 99 0.0 1. Plot the values of position vs time. What is the shape of the graph? 2. What shape you expect to obtain when you plot y vs. t? Make this plot. 3. Using these two plots, derive a mathematical relationship expressing the time dependence of y; it will help for you to write down the slope with correct units for the graph of y vs t. Explain this position-time relationship clearly in your lab report, noting the physical significance of any terms which appear in your expression. 4. Compute slope of the original plot y vs t at time t=2.0 sec. To help you do this, consider what is the physical significance of this slope (write your answer down). Give the proper units of the slope.woll