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 has been falling. A 6

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Question 147608: 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.) Choose the answer from the following:
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.)
:
two story; s = 24ft; person's height: h = 6
:
24 - 16t^2 = 6
:
-16t^2 = 6 - 24; subtract 24 from both sides
:
-16t^2 = -18
:
16t^2 = + 18; multiplied equation by -1
:
t^2 = 18%2F16; divided both sides by 16
t = sqrt%2818%2F16%29; find the square root of both sides
t = %281%2F4%29sqrt%2818%29; simplify, extract the squares
t = %283%2F4%29sqrt%282%29
or
t = 1.06 sec
:
:
Check solution in original equation: t=1.06
-16(1.06^2) + 24 =
-16(1.125) + 24
-18 + 24 = 6 ft