# Solving Problems With Quadratic Equations However, these problems lead to quadratic equations. You can solve them by factoring or by using the Quadratic Formula.

Let's first take a minute to understand this problem and what it means. So, here's a mathematical picture that I see in my head. The equation that gives the height (h) of the ball at any time (t) is: h(t)= -16t Now, we've changed the question and we want to know how long did it take the ball to reach the ground. The problem didn't mention anything about a ground. I'm thinking that this may not be a factorable equation. The first time doesn't make sense because it's negative.

Let's take a look at the picture "in our mind" again. This is the calculation for when the ball was on the ground initially before it was shot.

If your device is not in landscape mode many of the equations will run off the side of your device (should be able to scroll to see them) and some of the menu items will be cut off due to the narrow screen width.

Now you have to figure out what the problem even means before trying to solve it.

There is enough coverage on new additions to the syllabus with a significant amount of questions.

The following animation is interactive: by clicking on the button, you can generate a random equation and its solutions appear at the same time.

Yes, this problem is a little trickier because the question is not asking for the maximum height (vertex) or the time it takes to reach the ground (zeros), instead it it asking for the time it takes to reach a height of 20 feet.

Since the ball reaches a maximum height of 26.5 ft, we know that it will reach a height of 20 feet on the way up and on the way down.

The equations are Solve the second equation for t: Plug this into the first equation and solve for x: The solutions are .

Thus, it takes him hours to travel 360 miles against the current.

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