(Solved): A boy kicks a soccerball, giving it an inital velocity of \( 8.00 \mathrm{~m} / \mathrm{s} \) at \( ...

A boy kicks a soccerball, giving it an inital velocity of \( 8.00 \mathrm{~m} / \mathrm{s} \) at \( 31.0 \) degrees above the horizontal. How high will it go to the zenith? \[ \begin{array}{|ll} \hline \text { a } & 2.64 \mathrm{~m} \\ \hline \mathrm{b} & 1.31 \mathrm{~m} \\ \hline \mathrm{c} & 3.22 \mathrm{~m} \\ \hline \mathrm{d} & 1.98 \mathrm{~m} \\ \mathrm{e} & 0.865 \mathrm{~m} \end{array} \] The airplane in the image below is flying horizontally (parallel to the ground) with a velocity of \( 50.0 \mathrm{~m} / \mathrm{s} \) and an altitude of \( 225 \mathrm{~m} \) when releases a care package. If we ignore air resistance, how many seconds will it take the care package to fall to the ground below? Vectors can be split into two components that can be considered independently. Word Bank: Blank