SOLUTION: The distance, s(t), in feet traveled by a freely falling object is given by the function s(t)=16t^2 where t is time in seconds. Use this formula to find the time it would take for

Algebra ->  Equations -> SOLUTION: The distance, s(t), in feet traveled by a freely falling object is given by the function s(t)=16t^2 where t is time in seconds. Use this formula to find the time it would take for       Log On


   

Question 1006846: The distance, s(t), in feet traveled by a freely falling object is given by the function s(t)=16t^2 where t is time in seconds. Use this formula to find the time it would take for an object to fall to the ground from a cliff that is 400 feet high.
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
The equation to find the unknown time t is

16%2At%5E2 = 400.

t%5E2 = 400%2F16 = 25.

t = sqrt%2825%29 = 5 seconds.