SOLUTION: A ball is thrown downward from a window in a tall building. Its position at time t in seconds is s = 16t2 + 32t, where s is in feet. How long (to the nearest tenth) will it take th

Question 949493: A ball is thrown downward from a window in a tall building. Its position at time t in seconds is s = 16t2 + 32t, where s is in feet. How long (to the nearest tenth) will it take the ball to fall 110 feet?
Found 2 solutions by Zucchini, Alan3354:
Answer by Zucchini(70) (Show Source): You can put this solution on YOUR website!
Just plug in and solve:
110 = 16t + 32t
110 = 48t
2.3 = t

It will take 2.3 seconds for the ball to fall from 110 feet.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A ball is thrown downward from a window in a tall building. Its position at time t in seconds is s = 16t2 + 32t, where s is in feet. How long (to the nearest tenth) will it take the ball to fall 110 feet
----------------
s = 16t2 + 32t
Use ^ (Shift 6) for exponents.
s = 16t^2 + 32t
s = 16t^2 + 32t = 110
16t^2 + 32t - 110 = 0

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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=8064 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.80624304008046, -3.80624304008046. Here's your graph:

=======================
t =~ 1.806 seconds
Ignore the negative solution.

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