![]() ![]() One of the first places you'll encounter a quadratic relation in physics is with projectile motion. So, unlike b and c, a must never equal zero because that will remove the x squared from the formula since zero multiplied by anything is zero. This works because it turns out that it's the x squared component that's absolutely necessary for a relationship to be quadratic. If that happens, we get the simplest form of a quadratic relationship: Even if we have an equation like this where b and c both equal zero, it's still considered quadratic. If you didn't have this equation, and only had some data points for a graph, you'd be able to tell it's a quadratic relation if the graph's curve forms a parabola, which on a graph looks like a dip or a valley. Here, y and x are our variables, and a, b, and c are constants. To put it simply, the equation that holds our two variables looks like the following: Quadratic RelationshipsĪ quadratic relationship is a mathematical relation between two variables that follows the form of a quadratic equation. ![]() Here, we'll go over both quadratic and inverse relationships, and a couple examples of places they pop up in a physics course. In an introductory physics course, there are four different common relationships between variables you are bound to run into: they are linear, direct, quadratic, and inverse relationships. temperature you are exploring the relationship between these two variables. Here, the temperature of the water is the variable you are changing, and the gas pressure is the second variable you are tracking. For instance, you might be tasked with placing a sealed container filled with gas in a pot of water, and measuring the change in pressure of the gas as the water is heated. You change one of the variables yourself, and track the corresponding change in the other. When you're working a physics lab for a class, you'll often find yourself making graphs of a couple variables. ![]()
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