SOLUTION: a ball is thrown downward from a window in a tall building. the distance, d, fallen after t seconds is d=16t2(squared) + 32t where d is in feet. how long (to the nearest tenth) w

Question 260445: a ball is thrown downward from a window in a tall building. the distance, d, fallen after t seconds is d=16t2(squared) + 32t where d is in feet. how long (to the nearest tenth) will it take the ball to fall 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. the distance, d, fallen after t seconds is d=16t2(squared) + 32t where d is in feet. how long (to the nearest tenth) will it take the ball to fall 110 feet?
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16t^2 + 32t = 110
8t^2 + 16t - 55 = 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=2016 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:

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Ignore the negative number
1.8 seconds

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