SOLUTION: Please help me solve this question: An airplane flying at an altitude of 3600 feet is dropping aid supplies. The path of the plane is parallel to the ground at the time of the sup

Algebra ->  Vectors -> SOLUTION: Please help me solve this question: An airplane flying at an altitude of 3600 feet is dropping aid supplies. The path of the plane is parallel to the ground at the time of the sup      Log On


   

Question 616179: Please help me solve this question:
An airplane flying at an altitude of 3600 feet is dropping aid supplies. The path of the plane is parallel to the ground at the time of the supplies are released and the plane is traveling at a speed of 330 mph. Note: 5280 feet is 1 mile.
a) Write parametric equations that represent the path of the supplies
b) How long will it take for the supplies to reach the ground?
c) How far will the supplies travel horizontally before landing?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) +h%5By%5D+=+-16t%5E2+
given:
+h%5By%5D+=+-3600+ ft
+-3600+=+-16t%5E2+
+t%5E2+=+225+
+t+=+15+
it takes 15 sec to hit ground
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(2) +d%5Bx%5D+=+v%2At+
given:
+v+=+330%2A5280%2A%281%2F3600%29+ mi/hr x ft/mi x hrs/sec
+v+=+484+ ft/sec
+d%5Bx%5D+=+484%2A15+
+d%5Bx%5D+=+7260+
The horizontal distance traveled is 7,260 ft ( more than a mile )
note: (1) and (2) are the parametric equations