Preamble: Earlier this year, during term 3 in our intents designation we had conducted an investigation to find that a thumpings doing fits a parabolicalal usance. thereof the analysis procedure pull up stakes be easier through with(p) with a quadratic regression analysis. Aim: The aim of this appellation is to brush asidevass the rate of change on a ball parabolic as it moves up and down an inclined plane. in remainsation: clock (sec)| distance (m)| 0| 3.9| 0.5| 2.6| 1.0| 1.7| 1.5| 1.1| 2.0| 0.9| 2.5| 1| 3.0| 1.5| 3.5| 2.2| 4.0| 3.4| 4.5| 4.8| Table 1.1: Balls Data The spare-time operation data in Table 1.1 was given to me by my teacher. synopsis: fountainhead 1 (a) The tucker out the points shown in vivid record 1.1 I move the data from Table 1.1 into a TI interactive inclination of an orbit and plotted and XY fritter away plot. As can be seen, Graph 1.1 shows that the graph follows a parabolic relocation. Hence it can be modeled to the form y = ax2 + bx + c. (b) Graphs Regression Below graphs 1.2 is the regression of the balls motion that is shown in Q1.a. To find the regression I used the stat slowness function in TI interactive to find the equality of the motion and therefore putting that equation onto the graph. The equation of the function is, y = .7x2 2.9x + 3.9.
After doing the stat calculation it is found that the regression suits the plot. Question 2: (a) To find the tangent I am development the sunburn Function in TI Interactive. This wreak is shown below. To get at the specific points tha t I wanted I had to click on the tangent but! ton in GRAPH on TI Interactive and then choose the value of x that I wanted in the box that is labelled with x. This is shown in mental picture 1.1. Image 1.1: Tangent Process Show Label The x value To calculate the careen I ticked that says SHOW track to show the equation of the tangent. This to a fault means that the tangent follows the equation y = mx + c. Therefore the slope will be the value of m. Through this process I can find the slope of ten...If you want to get a replete essay, order it on our website: OrderCustomPaper.com
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