What are some real-life applications of quadratics?

What are some real-life applications of quadratics?

Quadratic equations are used in various fields like physics, engineering, and finance. For example, they can model projectile motion, optimize area in construction, and calculate profit in business.

Can you give me an example of how quadratics are used in projectile motion?

Sure! When you throw a ball, its height over time can be modeled by a quadratic equation. The equation takes the form h(t) = -gt² + vt + h₀, where g is the acceleration due to gravity, v is the initial velocity, and h₀ is the initial height.

What about in finance? How are quadratics applied there?

In finance, quadratics can be used to model profit maximization. For instance, if you have a revenue function that is quadratic, you can find the price that maximizes profit by determining the vertex of the parabola.

Are there any other fields where quadratics are important?

Yes, quadratics are also important in biology for modeling population growth and in architecture for designing parabolic structures.