Download the data file velocity$\_2$d$.$tsv from this assignment$$s Canvas page. This is a tab$-$

separated value $($TSV$)$ file containing a list of velocity vectors $($cm$/$s$)$ for a particle traveling

in the plane, gathered at $0\mathrm{.}05-$second intervals. The vx$($t$)$ and vy$($t$)$ columns contain the x$-$

and y$-$components of the particle$$s velocity vector $$v $($t$)=$vx$($t$),$ vy$($t$),$ respectively, and

the rx$($t$)$ and ry$($t$)$ columns contain space for the x$-$ and y$-$components of the particle$$s

position vector $$r $($t$)=$rx$($t$),$ ry$($t$),$ respectively.

Import this data file into Excel $($or any other spreadsheet software$).$ The particle$$s initial

position of $$r $(0)=270,400$ cm is given. Use this, along with the velocity data, to numerically

solve the initial value problem

$$

r $($t$)=$v $($t$),$ r $(0)=270,400$ cm

to fill in the remaining positions in the rx$($t$)$ and ry$($t$)$ columns. Then generate a scatter

plot of the resulting positions by plotting ry$($t$)$ versus rx$($t$).$

You do not need to include your Excel file in your solution file, but you should include

$($i$)$ a description of how you computed the position values, in enough detail for the reader to

reproduce your steps given the same data file, and $($ii$)$ the resulting scatter plot.