SOLUTION: The time in seconds that it takes for an object to fall from rest is given by t=1/4 (radical)s, in which s is the distance fallen. Find the time required for an object to fall to

Algebra ->  Radicals -> SOLUTION: The time in seconds that it takes for an object to fall from rest is given by t=1/4 (radical)s, in which s is the distance fallen. Find the time required for an object to fall to      Log On


   



Question 121078: The time in seconds that it takes for an object to fall from
rest is given by t=1/4 (radical)s, in which s is the distance fallen. Find the time required
for an object to fall to the ground from a building that is 800 ft high.
Science and medicine. Find the time required for an object to fall to the ground
from a building that is 1400 ft high. (Use the formula found in above problem)
I think I get this but not sure, please help, thanks.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The time in seconds that it takes for an object to fall from
rest is given by t=1/4 (radical)s, in which s is the distance fallen.
:
This formula can be written:
t = %281%2F4%29sqrt%28s%29
:
Find the time required for an object to fall to the ground from a building that is 800 ft high.
:
Substitute 800 for s in the above formula:
t = %281%2F4%29sqrt%28800%29
t = %281%2F4%2928.28427; found the square root of 800
t = 7.071 seconds to fall 800 ft
:
:
Find the time required for an object to fall to the ground from a building that is 1400 ft high. (Use the formula found in above problem)
:
Substitute 1400 for s
t = %281%2F4%29sqrt%281400%29
t = %281%2F4%2937.41657
t = 9.354 seconds to fall 1400 ft
:
Did this help?