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# What are real-life examples of quadratic equations?

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According to Math Is Fun, real-world examples of the quadratic equation in use can be found in a variety of situations, from throwing a ball to riding a bike. In each example, the predictive qualities of the quadratic equation can be used to assess an outcome.

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Math Is Fun notes that the quadratic equation can be used to determine where a ball that has been thrown into the air is going to eventually land. The equation is used to calculate the amount of time it takes for the ball to reach its peak height and return to the ground, and the predictable nature of the parabola enables the observer to pinpoint its exact location.

The Monterey Institute explains that the quadratic equation can also be seen in the shape of the cables used on a suspension bridge. Math Is Fun explains that the quadratic equation is put to use under economic conditions as well. It is possible to determine how many units of a product need to be produced in order to result in the desired sales figures by using the parabolic nature of the quadratic equation to determine the amount of revenue that is produced for each unit being sold.

## Related Questions

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The most common use of the quadratic equation in real world situations is in the aiming of missiles and other artillery by military forces. Parabolas are also used in business, engineering and physics.

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Some examples of MCAT physics equations include the equation for law of gravitation, which is F = Gm1m2/r^2; the equation for centripetal force, which is F=mv^2/r; and the equations for potential energy, such as PE = mgh, PE = 1/2kx^2 and PE = -GmM/r. Other equations include momentum = mv, impulse = Ft and KE = (1/2)mv^2.

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The law of sines and law of cosines are two different equations relating the measure of the angles of a triangle to the length of the sides. The laws apply to any triangle, not just right-angled triangles.