Problem $3\mathrm{.}16$

The range of an object shot at an angle $$ with respect to the $x-$axis and an initial velocity $v_0$ is given by

Range $=\frac{v_0^2}{g}sin(2)$

for $0<mfrac\; id="EditorElement\_4081565"><mrow\; id="EditorElement\_4081558"><mi\; id="EditorElement\_4081555"></mi></mrow><mrow\; id="EditorElement\_4081564"><mn\; id="EditorElement\_4081561">2</mn></mrow></mfrac>$ and nealectina air resistance.

Kange

Use $g=9\mathrm{.}81\frac{m}{s^2}$ and an initial velocity $v_0$ of $100\frac{m}{s}.$

A$)$ Generate a row vector named theta that contains theta values from $0$ to $2$ in increments of $\frac{}{100}.$

B$)$ Calculate the range for each of these theta values. Store the results in a row vector named range.

C$)$ Find the maximum range and the index at which it occurs. Store the maximum range in a variable called max$\_$range and the maximum index in max$\_$range$\_$index.

D$)$ Using the results in part $C,$ find the angle which corresponds to the maximum range. Store this angle in a variable called: theta$\_$max$\_$range.