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EXERCISES Suppose that you've measured the position of a glider moving on a horizontal air track as a function of time and obtained the following set of data. t (s) 0.0 0.3 0.6 0.9 1.2 1.5 1.8 2.1 2.4 2.7 3.0 3.3 x (m) 0.08 0.25 0.32 0.49 0.55 0.74 0.80 0.97 1.01 1.21 1.28 1.46 a. Use a sheet of graph paper (at the end of this manual) to plot a graph of the position of the glider (x) as a function of the time it has been moving (t). Recalling that the scale you chose for x does not have to be the same as the scale you choose for t (Why should it? You are, after all, plotting different physical quantities on the horizontal and vertical axes!), choose scales that will result in your graph filling most of your sheet of graph paper. b. Use the eye-ball criterion and a straight edge (ruler) to fit a straight line to your graph. c. Use the rise-over-run definition of slope to determine the slope of the straight line that you think best represents your data. d. What is the physical significance of the slope of your graph? Hint: Think about the units of the slope you've just calculated. e. Determine the vertical-axis intercept (aka vertical- or y-intercept) of your graph. f. What is the physical significance of the vertical intercept of your graph? Hint: Think about the units of the intercept. g. Write an equation that expresses how the position of the glider (x) depends on the time it has been in motion (t).

          EXERCISES
Suppose that you've measured the position of a glider moving on a horizontal air track as a function of time and obtained the following set of data.
t (s) 0.0 0.3 0.6 0.9 1.2 1.5 1.8 2.1 2.4 2.7 3.0 3.3
x (m) 0.08 0.25 0.32 0.49 0.55 0.74 0.80 0.97 1.01 1.21 1.28 1.46
a. Use a sheet of graph paper (at the end of this manual) to plot a graph of the position of the glider (x) as a function of the time it has been moving (t). Recalling that the scale you chose for x does not have to be the same as the scale you choose for t (Why should it? You are, after all, plotting different physical quantities on the horizontal and vertical axes!), choose scales that will result in your graph filling most of your sheet of graph paper.
b. Use the eye-ball criterion and a straight edge (ruler) to fit a straight line to your graph.
c. Use the rise-over-run definition of slope to determine the slope of the straight line that you think best represents your data.
d. What is the physical significance of the slope of your graph? Hint: Think about the units of the slope you've just calculated.
e. Determine the vertical-axis intercept (aka vertical- or y-intercept) of your graph.
f. What is the physical significance of the vertical intercept of your graph? Hint: Think about the units of the intercept.
g. Write an equation that expresses how the position of the glider (x) depends on the time it has been in motion (t).

EXERCISES
Suppose that you've measured the position of a glider moving on a horizontal air track as a function of time and obtained the following set of data.
t (s) 0.0 0.3 0.6 0.9 1.2 1.5 1.8 2.1 2.4 2.7 3.0 3.3
x (m) 0.08 0.25 0.32 0.49 0.55 0.74 0.80 0.97 1.01 1.21 1.28 1.46
a. Use a sheet of graph paper (at the end of this manual) to plot a graph of the position of the glider (x) as a function of the time it has been moving (t). Recalling that the scale you chose for x does not have to be the same as the scale you choose for t (Why should it? You are, after all, plotting different physical quantities on the horizontal and vertical axes!), choose scales that will result in your graph filling most of your sheet of graph paper.
b. Use the eye-ball criterion and a straight edge (ruler) to fit a straight line to your graph.
c. Use the rise-over-run definition of slope to determine the slope of the straight line that you think best represents your data.
d. What is the physical significance of the slope of your graph? Hint: Think about the units of the slope you've just calculated.
e. Determine the vertical-axis intercept (aka vertical- or y-intercept) of your graph.
f. What is the physical significance of the vertical intercept of your graph? Hint: Think about the units of the intercept.
g. Write an equation that expresses how the position of the glider (x) depends on the time it has been in motion (t).

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