SOLUTION: The height h (in feet) of an object that is dropped from a height of s feet is given by the formula h = s − 16t2, where t is the time the object has been falling. A 5-foot-tall w

Algebra ->  Formulas -> SOLUTION: The height h (in feet) of an object that is dropped from a height of s feet is given by the formula h = s − 16t2, where t is the time the object has been falling. A 5-foot-tall w      Log On


   



Question 1169326: The height h (in feet) of an object that is dropped from a height of s feet is given by the formula h = s − 16t2, where t is the time the object has been falling. A 5-foot-tall woman on a sidewalk looks directly overhead and sees a window washer drop a bottle from 7 stories up. How long does she have to get out of the way? (A story is 10 feet. Round your answer to two decimal places.)
The woman has about
seconds to move.

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

The time for the bottle to drop from the level of 30 ft to the level of 1.5 ft is


    30 - 16t^2 = 1.5,


according to the given equation.


Simplify it to


    16t^2 = 30 - 1.5 = 28.5


and find 


    t = sqrt%2828.5%2F16%29.


Use your calculator.

Completed.