Project $44$

Scientists at Vandenberg Air Force Base are interested in tracing the path of some newly designed solar powered rockets$$ They will launch troo rockets$100$ Als $$One will depart at $45$the other $60$From vector analysis and gravity$$you determine the following coordinates$x,y$as a function of time$y^{\text{'}\text{'}}$ where $y$ stands for height in feet above the ground and $x$ stands for laseral distance unseled$$

$45$

$60$

$x=100cos(45)t$

$y=-16t^2+100sin(45)t$

$x=100cos(60)t$

$y=-16t^2+100sin(60)t$

$1$For each angle $(45,60)$ Use your calculator to fill in the chart$1$ dec $$

$\backslash$table$[[$t$,0,5,1\mathrm{.}0,1\mathrm{.}5,2\mathrm{.}0,2\mathrm{.}5,3\mathrm{.}0,3\mathrm{.}5,4\mathrm{.}0,4\mathrm{.}5,5\mathrm{.}0],[x_{45},0,35\mathrm{.}355,,106\mathrm{.}86,,,13$ N$,247\mathrm{.}481,812\mathrm{.}84,31819,353\mathrm{.}55],[Y_{45},0,31\mathrm{.}355,54\mathrm{.}410,70\mathrm{.}066,$ff$421,16710,68\mathrm{.}152,51\mathrm{.}48=$

$,,5,46\mathrm{.}47],[x_{60},,25,50,15,100,125,156,145,,,$