ANALYSIS IIData Set 2. Imagine the following experiment: A cart is initially at rest. A force pulls the cartthrough a given distance and gives it an amount of kinetic energy K. At the end of this distance,the force goes to zero and the cart travels with a constant speed. The resulting speed is measured.The data table on the next page shows the measured kinetic energies and the measured speeds.K, Jv, m/s0.500.481.500.763.001.104.501.306.001.557.501.70 3.Consulting a physics text, you find the following formula for kinetic energy, K = ½ mv²where K is kinetic energy and v is the speed of mass m. Thus, kinetic energy is a quadraticfunction of the speed. The data transformation z = v gives the formula K = ½ m z which is alinear equation between K and z with slope = ½ m and y-intercept equal to zero. Thus, theorypredicts a linear relationship between K and speed squared.a)examine the resulting graph.Enter speed squared into your calculator or computer, plot the new data andb)and units) on your sketch. Does the graph show a linear relationship?Make a freehand sketch of the resulting graph. Include axes labels (variable names4.Do a linear regression analysis of the data, report the resulting slope and y-intercept withproper units, and write the explicit function. From your results, determine an experimental valuefor mass m.Plot the regression function on the same graph as your plotted data. How well does thefunction fit the data?time, s position, m0.209.830.609.521.008.121.406.301.804.052.201.19

Name: ANALYSIS IIData Set 2. Imagine the following experiment: A cart is in
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Description: ANALYSIS IIData Set 2. Imagine the following experiment: A cart is initially at rest. A force pulls the cartthrough a given distance and gives it an amount of kinetic energy K. At the end of this distance,the force goes to zero and the cart travels