SOLUTION: Use the position equation s = -16t^2 + v0t + s0 as the model for the problem. A cargo plane flying at 9000 feet over level terrain drops a 700-pound supply package. (a) How

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Use the position equation s = -16t^2 + v0t + s0 as the model for the problem. A cargo plane flying at 9000 feet over level terrain drops a 700-pound supply package. (a) How      Log On


   



Question 1130352: Use the position equation
s = -16t^2 + v0t + s0
as the model for the problem.
A cargo plane flying at 9000 feet over level terrain drops a 700-pound supply package.
(a) How long will it take the package to strike the ground? (Round your answer to two decimal places.)

sec
(b) The plane is flying at 900 miles per hour. How far will the package travel horizontally during its descent? (Round your answer to two decimal places.)

mi

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Use the position equation
s = -16t^2 + v0t + s0
as the model for the problem.
A cargo plane flying at 9000 feet over level terrain drops a 700-pound supply package.
(a) How long will it take the package to strike the ground? (Round your answer to two decimal places.)
----
t = seconds to impact
s = 16t^2 = 9000
t^2 = 9000/16
t =~ 23.72 seconds
=====================
(b) The plane is flying at 900 miles per hour. How far will the package travel horizontally during its descent? (Round your answer to two decimal places.)
900 mi/hr = 1320 ft/sec
d = 1320*t =~ 31306.55 feet
---------------
All this ignores air friction, as usual.