SOLUTION: A ball is thrown downward from a window in a tall building. The distance, d, fallen after t seconds is d=16t^2 + 32t, where d is in feet. How long (to the nearest tenth) will it ta

Question 260373: A ball is thrown downward from a window in a tall building. The distance, d, fallen after t seconds is d=16t^2 + 32t, where d is in feet. How long (to the nearest tenth) will it take the ball to fall 110 feet?
I tried dividing 110 by the equation and I get .382, for distance divided by rate. I'm not sure if this is an answer, and if it is is that 3.82 seconds?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
plug in 110 for d in the equation and solve for t
t=1.69258

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=464 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.69258240356725, -3.69258240356725. Here's your graph:

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=7424 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.69258240356725, -3.69258240356725. Here's your graph: