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 foot tal

Question 166107: 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 4 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:
2.0 seconds

1.5 seconds

1.6 seconds

1.3 seconds

Please help solve and show how to arrive at answer.

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
First, you need to find the height (s) from which the bottle was dropped.
This is 4 storeys times 12 ft per storey.
feet.
The observer is 6 feet tall, so you want to find the time, t, at which the bottle reaches a height of 6 feet when dropped from a height (s) of 48 feet.
Starting with:
Substitute h = 6 ft. and s = 48 ft.
Add to both sides.
Subtract 6 from both sides.
Divide both sides by 16.
Now take the square root of both sides.
Simplify the right side.

seconds.
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