NAME_________________________________ CLASS____________________ DATE____________

You are the pilot of an airplane sent to drop supplies to victims of an accident that are stranded on a small island. The plane's altitude is always 500 meters and your speed is 89.61 m/s.

- Once released, how much time will elapse before the supply
package reaches the level of the island?
(

**Hint:**Use the distance equation in the y-direction.)time = ____________

- Will the descent time of the supply package change if the
airplane's speed changes?
(a) Yes (b) No

- At what (horizontal) distance in front of the island should
the package be released in order to hit the island?
d

_{x}= ______________ - What is the package's horizontal speed when it reaches the
level of the island?
v

_{x}= _____________ - What is the package's vertical speed when it reaches the level
of the island?
v

_{y}= ____________ - What will be the package's flight angle with respect to the
level of the island as it descends?
q = ______________

**Suppose the victims on the island can retrieve supply packages that land within 30 meters of the island. The length of the island is 50 meters along the direction you are approaching.** - How far in front of the island would the airplane have to
release the supply package for it to land 30 meters in
__front__of the island?d

_{x (front)}= _____________ - How far in front of the island would the airplane have to
release the supply package for it to land 30 meters in
__back__of the island?d

_{x (back)}= _____________ - Time
_{1}will be the time on your watch when you release the package and it lands 30 meters in__front__of the island. Time_{2}will be the time on your watch when you release the package and it lands 30 meters in__back__of the island. Calculate the amount of time you have to successfully drop the package, namely, time_{1}- time_{2}.time

_{1}- time_{2}= ________________

- What could be done to decrease the package's speed when it reaches the ground?