SOLUTION: If a stone is tossed from the top of a 350 meter building, the height of the stone as a function of time is given by h(t) = -9.8t2 – 10t + 350, where t is in seconds, and height is

Algebra.Com
Question 387697: If a stone is tossed from the top of a 350 meter building, the height of the stone as a function of time is given by h(t) = -9.8t2 – 10t + 350, 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 nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
h(t) = -9.8t2 – 10t + 350
Set h(t) to 0 and solve for t:
0 = -9.8t2 – 10t + 350
0 = -4.9t2 – 5t + 175
t = {-6.51, 5.49}
Only the positive answer makes sense:
t = 5.49 seconds
.
details of quadratic:
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=3455 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -6.50808653456555, 5.48767837130024. Here's your graph:
RELATED QUESTIONS

. If a stone is tossed from the top of a 350 meter building, the height of the stone as a (answered by Earlsdon)
If a stone is tossed from the top of a 350 meter building, the height of the building as... (answered by nerdybill)
Don't remember how to do these word problems. But the height is also giving me a trouble. (answered by Alan3354)
I am completely lost! Please Help? If a stone is tossed from the top of a 350 meter... (answered by jsmallt9)
If a stone is tossed from the top of a 230 meter building, the height of the stone as a... (answered by Alan3354)
If a stone is tossed from the top of a 310 meter building, the height of the stone as a... (answered by nerdybill)
If a stone is tossed from the top of a 190 meter building, the height of the stone as a... (answered by nerdybill)
If a stone is tossed from the top of a 210 meter building, the height of the stone as a... (answered by ewatrrr)
If a stone is tossed from the top of a 250 meter building, the height of the stone as a... (answered by nerdybill)