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,UoU6oMotion Lab Finding Several Kinematics Equations Using Data Studio
Honors Physics, Mr. Ward 9-9-02
Part 1 Finding a Kinematics equation using the position-time graph (constant velocity).
If you saved your graph for Motion3, open it. If not, open Demo for Motion3 on the web page.
Highlight the straight part of one of the position graphs.
Write y = mx + b on your paper. Change the x and y to quantities that are appropriate to the graph.
Click on Fit> Linear Fit. Record the slope and y-intercept.
Using the fit values, write a new equation of the above form.
Based upon this information and the units of position, what units should the slope have? What quantity does the slope measure?
What units should the y-intercept have? What quantity (position, velocity, acceleration, etc.) does the y-intercept measure?
Now write a general symbolic linear equation (no numbers). Use symbols such as vf, vi, a, xf, xi, and t as needed.
Part 2 Finding a Kinematics equation using the velocity-time graph (constant acceleration).
If you saved your graph for Motion5, open it. If not, open Demo for Motion5 on the web page.
First look at the velocity graph and highlight the uniform acceleration region.
Write y = mx + b on your paper. Change the x and y to quantities that are appropriate to the graph.
Click on Fit> Linear Fit. Record the slope and y-intercept.
Using the fit values, write a new equation of the above form.
Based upon this information and the units of position, what units should the slope have? What quantity (position, velocity, acceleration, etc.) does the slope measure?
Your intercept is probably negative. This means that if the car had been accelerating positively at this constant rate since t = 0, it would have to have started at some negative velocity value, this is, it would have been moving to the left, stopped when the line crossed the horizontal axis, and then started moving again. Another name for this initial velocity would be vi. Remember this for Part 3.
Now write a general symbolic linear equation (no numbers). Use symbols such as vf, vi, a, xf, xi, and t as needed.
Part 3 Finding a Kinematics equation using the position-time graph (constant acceleration).
If you saved your graph for Motion5, open it. If not, open Demo for Motion5 on the web page.
First look at the velocity graph and locate the uniform acceleration region.
On the position-time graph, highlight those points that are in this same uniform acceleration region.
Write y = Ax2 + Bx + C on your paper. We use the quadratic equation because the selected portion of the position-time graph appears to be part of a parabola.
Change the x and y to quantities that are appropriate to the graph.
Now this part is cool! Click on Fit> Quadratic Fit.
Using the fit values, write a new equation of the above form.
Based upon this information and the units of position, what units should A have? What quantity does A measure?
What units should B have? What quantity does B measure?
What units should C have? What quantity does C measure? Your value for C is not going to be what you expect. This is because the acceleration did not start when t = 0. In other words, your parabola does not start at the origin but is shifted to the right. Dont worry about this.
Now find the slope of straight portion of the velocity-time graph. What does this measure?
How does this number compare to the value of A above? What does this tell you about what A really represents?
Now write a general symbolic quadratic equation (no numbers). Use symbols such as vf, vi, a, xf, xi, and t as needed.
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