SOLUTION: If a stone is tossed from the top of a 330 meter building,the height io the stone as a function of time is given by h(t)= -9.8t^2-10t+330 where is it in seconds and height is in me

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: If a stone is tossed from the top of a 330 meter building,the height io the stone as a function of time is given by h(t)= -9.8t^2-10t+330 where is it in seconds and height is in me      Log On


   

Question 595304: If a stone is tossed from the top of a 330 meter building,the height io the stone as a function of time is given by h(t)= -9.8t^2-10t+330 where is it in seconds and height is in meters. After how many seconds will the stone hit the ground? Round to the nearest hundredths place include units in your solution
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If a stone is tossed from the top of a 330 meter building, the height of the stone as a function of time is given by h(t)= -9.8t^2-10t+330
where is it in seconds and height is in meters.
After how many seconds will the stone hit the ground?
Round to the nearest hundredths place include units in your solution
:
When the stone hits the ground, h(t) = 0, therefore:
-9.8t^2 - 10t + 330 = 0
use the quadratic formula to find t
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
In this equation; x=t; a=-9.8, b=-10, c=330
t+=+%28-%28-10%29+%2B-+sqrt%28-10%5E2-4%2A-9.8%2A330+%29%29%2F%282%2A-9.8%29+
:
t+=+%2810+%2B-+sqrt%28100%2B12936+%29%29%2F%28-19.6%29+
Do the math here, you should get a positive solution 5.32 sec