An object on a frictionless air track is measured to have the following instantaneous velocities at...

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An object on a frictionless air track is measured to have the following instantaneous velocities at various times, as recorded in the table below: time (sec) 1.00 1.50 2.00 2.50 3.00 3.50 4.00 4.50 5.00 5.50 6.00 Velocity (m/s) 30.6 25.4 20.7 15.4 10.6 5.8 0.7 -3.9 -8.8 -13.8 -18.7 (a) Plot this data with t on the horizontal axis and v on the vertical axis. Be sure you label the graph and the axes properly, including units. (b) Decide whether a straight-line "curve" is appropriate, and if so, fit a straight line using a trend line. (c) From your graph, find the initial velocity (i.e., the y-intercept) and m (i.e., the slope), where is the velocity at t = 0. To do this, you might need to extend your straight = line somewhat to the left. This is called extrapolation, where we assume that the behavior prior to t = 1.0 sec is similar to the behavior after t 1.0 sec. (Please note that such an assumption is not always justified.). Note also that you can solve your trend line equation. (d) What physical quantity does the slope m correspond to? Give a reason for your answer. An object on a frictionless air track is measured to have the following instantaneous velocities at various times, as recorded in the table below: time (sec) 1.00 1.50 2.00 2.50 3.00 3.50 4.00 4.50 5.00 5.50 6.00 Velocity (m/s) 30.6 25.4 20.7 15.4 10.6 5.8 0.7 -3.9 -8.8 -13.8 -18.7 (a) Plot this data with t on the horizontal axis and v on the vertical axis. Be sure you label the graph and the axes properly, including units. (b) Decide whether a straight-line "curve" is appropriate, and if so, fit a straight line using a trend line. (c) From your graph, find the initial velocity (i.e., the y-intercept) and m (i.e., the slope), where is the velocity at t = 0. To do this, you might need to extend your straight = line somewhat to the left. This is called extrapolation, where we assume that the behavior prior to t = 1.0 sec is similar to the behavior after t 1.0 sec. (Please note that such an assumption is not always justified.). Note also that you can solve your trend line equation. (d) What physical quantity does the slope m correspond to? Give a reason for your answer.