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^s, where t is the time the object has been falling. A 5ft woman on a si
Algebra ->
Formulas
-> 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^s, where t is the time the object has been falling. A 5ft woman on a si
Log On
Question 184399: 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^s, where t is the time the object has been falling. A 5ft woman on a side walk looks directly over head and sees a window washer drop a bottle from the 3 story. How long does she have to get out of the way? Round to the nearest tenth. A story is 12ft.
a) 1.9seconds
b) 1.4seconds
c) 1.7seconds
d) 1.3seconds
You can put this solution on YOUR website! 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^s, where t is the time the object has been falling. A 5ft woman on a sidewalk looks directly over head and sees a window washer drop a bottle from the 3 story. How long does she have to get out of the way? Round to the nearest tenth. A story is 12ft.
a) 1.9seconds
b) 1.4seconds
c) 1.7seconds
d) 1.3seconds
--------------------------
h(t) = s - 16t^2
Let height be 5 ft since the lady is 5 ft tall.
5 = 36 - 16t^2 and solve for "t".
16t^2 -31 = 0
---------
t^2 = 31/16
Positive solution:
t = sqrt(31)/4 =
t = 1.39 seconds
======================================================
Cheers,
Stan H.
To start with, your height function is incorrect. You have:
Whereas it should be:
Having settled that, you need to solve for t when h = 5. The only problem is the exact value of s to use. Was the window washer standing on a scaffold that was positioned between the 2nd and 3rd floor (at 24 feet) and he pushed the bottle off of the scaffold with his foot? Was he holding it above waist level with his feet on the scaffold at (maybe) 24 feet, so the bottle dropped from 28 feet? Or maybe the scaffold was half-way up the 3rd floor at 30 feet and he either kicked the bottle off the scaffold (s = 30) or dropped it from just above waist height (s = 34). It is highly unlikely that he dropped it from the full 36 feet if he was cleaning windows that extend from 24 to 36 feet.
So:
You can try some different values for s and see what you get.
(