When the shorter sides are 20 feet, there is 40 feet of fencing left for the longer side. The maximum value of the function is an area of 800 square feet, which occurs when L=20 feet. When the ball hits the ground, the height is 0. Note: The equation isn’t completely accurate, because friction from the air will slow the ball down a little. Because gravity will make the ball speed up as it falls, a quadratic equation can be used to estimate its height any time before it hits the ground.
Quadratic equation examples free#
Objects in free fallĪ very common and easy-to-understand application is the height of a ball thrown at the ground off a building. Quadratic equations are also used when gravity is involved, such as the path of a ball or the shape of cables in a suspension bridge. Because the quantity of a product sold often depends on the price, you sometimes use a quadratic equation to represent revenue as a product of the price and the quantity sold. For example, when working with area, if both dimensions are written in terms of the same variable, you use a quadratic equation. Quadratic equations are commonly used in situations where two things are multiplied together and they both depend on the same variable. Quadratic equations are widely used in science, business, and engineering. (10.3.1) – Solve application problems involving quadratic functions Finding the maximum and minimum values of a quadratic function.(10.3.1) – Solve application problems involving quadratic functions.
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