$3$D INTERPOLATION

For this problem, you will generate your own data set using the hitTheSpot function from previous assignments. To build this data set, use $=[5,85],=10,v_0=[5,140]\frac{m}{s},v_0=15\frac{m}{s}.$ You will need to meshgrid this data set and then give the resulting $v_0$ and $$ matrices to the hitTheSpot function. Once you have completed this, you should not use hitTheSpot again for this problem at all. hitTheSpot was only used to generate the data set.

Save the output range matrix from hitTheSpot on HW$\{6\}$

Use the linear interpolation option to estimate the range for $=30,v_0=55\frac{m}{s}.$ Save the result on $HW\{7\}$

Repeat the above, but using spline interpolation $HW\{8\}.$

Use Spine interpolation to estimate the function at each point on a finer grid. Use $=1$ and $v_0=0\mathrm{.}1\frac{m}{s}.$ Save on HW$\{9\}.$ You should NOT plug this finer matrix into hitTheSpot. It will take FOREVER to evaluate.