$1.$ Using the velocity and fuel rate data numerically integrate to find the distance traveled and fuel usage. Calculate an average fuel economy in miles per gallon.

$2.$ Use the rotational speed and torque data to calculate power for each speed of the engine lug curve. Create a plot that shows both torque and power as a function of rotational speed. Show the torque on the left vertical axis and utilize the secondary vertical axis on the right to show power.

$3.$ Use Excel's Fast Fourier Transform $($FFT$)$ tool to develop a frequency spectrum plot of the given voltage data. $\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|$c$|\}$

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$\backslash$end$\{$tabular$\}$ Problem $1$

Problem $2$

Problem $3$

$\backslash$begin$\{$tabular$\}\{|$r$|$r$|$r$|$l$|$l$|\}$

$\backslash$hline & & & & $\backslash \backslash$

$\backslash$hline & Speed $($rpm$)$ & Torque $($N$-$m$)$ & & $\backslash \backslash$

$\backslash$hline & $600$ & $400$ & & $\backslash \backslash$

$\backslash$hline & $700$ & $588$ & & $\backslash \backslash$

$\backslash$hline & $800$ & $675$ & & $\backslash \backslash$

$\backslash$hline & $900$ & $850$ & & $\backslash \backslash$

$\backslash$hline & $1000$ & $971$ & & $\backslash \backslash$

$\backslash$hline & $1100$ & $1060$ & & $\backslash \backslash$

$\backslash$hline &