SOLUTION: Reading problem 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 has been falling. A

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Reading problem 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 has been falling. A       Log On


   



Question 153356This question is from textbook Intermediate Algebra
: Reading problem
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 has been falling. A 6 foot tall woman on a sidewalk looks directly overhead and sees a window washer drop a bottle from the 2 story. How long does she have to get out of the way? Round to the nearest tenth (A story is 12 feet).
I appreciate anyone who can help solve this problem. Thank you.
This question is from textbook Intermediate Algebra

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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 has been falling. A 6 foot tall woman on a sidewalk looks directly overhead and sees a window washer drop a bottle from the 2 story. How long does she have to get out of the way? Round to the nearest tenth (A story is 12 feet).
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From the above information we have to assume that total distance of the dropped bottle will be: 2(12) - 6 = 18 ft; therefore s=18'
:
18 - 16t^2 = 0
:
-16t^2 = -18
:
t^2 = %28-18%29%2F%28-16%29
:
t^2 = 1.125 sec
t = sqrt%281.125%29
t = 1.06 or about 1 second to get of the way.