SOLUTION: the height h (in feet)of an object that is dropped from the height of s feet is given by the formula h=s-16t^2, where t is the time the object is falling. a five foot tall woman on

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Question 171638: the height h (in feet)of an object that is dropped from the height of s feet is given by the formula h=s-16t^2, where t is the time the object is falling. a five foot tall woman on a sidewalk looks driectly overhead and sees a window washer drop a bottle from the 3rd story.how long does she have to get out of the way? round to the nearest tenth. (a story is 12 feet)..help!!!!!!!!!!!!!!!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with the given formula:
h+=+s-16t%5E2 Substitute h = 5 ft. and s = 3(12ft.) = 36 ft.
5+=+36-16t%5E2 Subtract 36 from both sides.
-31+=+-16t%5E2 Divide both sides by -16.
-31%2F%28-16%29+=+t%5E2 Take the square root of both sides.
t+=+5.57%2F4
t+=+1.4 seconds.
The woman has 1.4 seconds to get out of the way of the falling bottle, but, if I were she, I would waste no time in doing this algebra! I would move immediately!