Question 595304
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 = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
In this equation; x=t; a=-9.8, b=-10, c=330
{{{t = (-(-10) +- sqrt(-10^2-4*-9.8*330 ))/(2*-9.8) }}}
:
{{{t = (10 +- sqrt(100+12936 ))/(-19.6) }}}
Do the math here, you should get a positive solution 5.32 sec