7.1 Problem set

Data can be entered as follows: distance=[0 24 48 72 96];time=[0 5 10 15 20]; we can now plot the data by typing in plot(time,distance);title('Distance-Time Graph');xlabel('time');ylabel('distance'); at the MATLAB prompt. The following plot is generated, select Tools>Basic Fitting:

As shown above, the relationship between distance and time is:

y=4.8x-1.710^{-14}
or
\mathrm{Distance}=4.8\mathrm{Time}-1.710^{-14}

Data can be entered as follows: temperature = [100, 150, 200, 250, 300, 400, 500];energy = [2506.7, 2582.8, 2658.1, 2733.7, 2810.4, 2967.9, 3131.6]; we can now plot the data by typing in plot(temperature,energy);title('temperature vs. energy');xlabel('temperature');ylabel('energy'); at the MATLAB prompt. The following plot is generated, select Tools>Basic Fitting:

As shown above, the relationship between temperature and internal energy is:

y=1.6x+2347.2
or
\mathrm{internal\; energy}=1.6\mathrm{temperature}+2347.2

Data can be entered as follows: velocity=[12 142 512 1122 1972];time=[0 5 10 15 20]; we can now plot the data by typing in plot(time,velocity);title('Velocity-Time Graph');xlabel('time');ylabel('velocity'); at the MATLAB prompt. The following plot is generated, select Tools>Basic Fitting, notice that we are choosing the quadratic option this time:

As shown above, the relationship between velocity and time is:

y=4.8x^2+2x+12