For example, from the constant acceleration equations, we know that the relationship between the 1 time elapsed and the distance an object falls when dropped from rest* is "y= Ay-?,A2, or AyaA2. if we experimentally measure distances and times and then plot the variables y vs. At2, the data will be linear and the slope of the line, k, will be the value of the physical constant g/2. Problems х 0.70 y(x)0.20 0.50 0.90 2.5 х^2 y^2 Complete the table above, then carefully plot three combinations of variables on the following 1.1 1.5 2.5 3.5 4.9 sheet:x vs. y; x2 vs. y; and x vs. y2 (x is the independent variable). Use a ruler to draw by hand a best- fit straight line from the origin through the data on each plot, and measure the slope of the line. k1= k2= k3= If x represents velocity in [m/s], and y represents force in [kg-m/s2], what are the units of the slope in each of the three cases? k1= k2= k3= Which proportionality best fits the data, i.e. which plot is most nearly a straight line through the origin?

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For example, from the constant acceleration equations, we know that the relationship between the
1
time elapsed and the distance an object falls when dropped from rest* is Ay= 2g^t2, or Aya^t2. If
we experimentally measure distances and times and then plot the variables Ay vs. At2, the data will
be linear and the slope of the line, k, will be the value of the physical constant g/2.
Problems
х 0.70
y(x)0.20 0.50 0.90 2.5
х^2
y^2
Complete the table above, then carefully plot three combinations of variables on the following
1.1
1.5
2.5
3.5
4.9
sheet:x vs. y; x2 vs. y; and x vs. y2 (x is the independent variable). Use a ruler to draw by hand a best-
fit straight line from the origin through the data on each plot, and measure the slope of the line.
k1=
k2=
k3=
If x represents velocity in [m/s], and y represents force in [kg-m/s2], what are the units of the slope in
each of the three cases?
k1=
k2=
k3=
Which proportionality best fits the data, i.e. which plot is most nearly a straight line through the
origin?
Transcribed Image Text:For example, from the constant acceleration equations, we know that the relationship between the 1 time elapsed and the distance an object falls when dropped from rest* is Ay= 2g^t2, or Aya^t2. If we experimentally measure distances and times and then plot the variables Ay vs. At2, the data will be linear and the slope of the line, k, will be the value of the physical constant g/2. Problems х 0.70 y(x)0.20 0.50 0.90 2.5 х^2 y^2 Complete the table above, then carefully plot three combinations of variables on the following 1.1 1.5 2.5 3.5 4.9 sheet:x vs. y; x2 vs. y; and x vs. y2 (x is the independent variable). Use a ruler to draw by hand a best- fit straight line from the origin through the data on each plot, and measure the slope of the line. k1= k2= k3= If x represents velocity in [m/s], and y represents force in [kg-m/s2], what are the units of the slope in each of the three cases? k1= k2= k3= Which proportionality best fits the data, i.e. which plot is most nearly a straight line through the origin?
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