SOLUTION: I am looking for help, Please. SHOW ALL WORK: If a stone is tossed from the top of a 190 meter building, the height of the stone as a function of time is given by h(t) = -9.8t2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I am looking for help, Please. SHOW ALL WORK: If a stone is tossed from the top of a 190 meter building, the height of the stone as a function of time is given by h(t) = -9.8t2       Log On


   



Question 408268: I am looking for help, Please.
SHOW ALL WORK: If a stone is tossed from the top of a 190 meter building, the height of the stone as a function of time is given by h(t) = -9.8t2 – 10t + 190, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round to the nearest hundredth’s place; include units in your answer.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
h%28t%29+=+-9.8t%5E2+-+10t+%2B+190
The ground is where h%28t%29+=+0
-9.8t%5E2+-+10t+%2B+190
solve using the quadratic equation
t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a+=+-9.8
b+=+-10
c+=+190