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

A supply plane needs to drop a package of food to scientists working on a glacier in Greenland. The plane flies 200 m above the glacier at a speed of 190 m/s.

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

SOLUTION:

PART A

ANSWER: 1210 m

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

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