SOLUTION: A cargo plane flying at 7000 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 decima

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Question 1200222: A cargo plane flying at 7000 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.)

(b) The plane is flying at 800 miles per hour. How far will the package travel horizontally during its descent? (Round your answer to two decimal places.

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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A cargo plane flying at 7000 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.)
(b) The plane is flying at 800 miles per hour. How far will the package travel horizontally during its descent?
(Round your answer to two decimal places.
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(a)  In vertical direction, use equation for vertical coordinate h as the function of time t

        h = 7000 - %2832t%5E2%29%2F2

     where 32 represents gravity acceleration of 32 ft/s^2.


     From this equation, time t to reach the ground (h = 0) is

        t^2 = %282%2A7000%29%2F32 = 437.5;  t = sqrt%28437.5%29 = 20.9165 seconds.



(b)  During this time, the supply package will fly  %28800%2A20.9165%29%2F3600 = 4.6481 miles horizontally.

Solved.