# Supply plane dropping a package of food| Projectile Motion| Physics

### A) How far short of the target should it drop the package?

SOLUTION:

PART A

Solve for the time it takes for the package to reach the ground by considering the vertical component of motion.

$y_f=y_o+v_{oy}t-\frac{1}{2}gt^2$

$0=y_i+0-\frac{1}{2}gt^2$

$0=200+0-\frac{1}{2}\left(9.81\right)t^2\:$

$t=6.39\:s$

Solve for the horizontal distance traveled for this amount of time

$\Delta x=v_{ox}t$

$\Delta x=\left(190\:\right)\left(6.39\right)$

$\Delta x=1213.25\:m$

Round the answer to three significant figures

$\Delta x=1210\:m$