# Final Project

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Category: Education

## Presentation Description

Final project presentation for AP Calculus BC

## Presentation Transcript

### AP Calculus BC: Final Project:

AP Calculus BC: Final Project By: Joseph Lutz

### Applications of Calculus in the Real World:

Applications of Calculus in the Real World

### Parametric Equations: Projectile Motion:

Parametric Equations: Projectile Motion Usually a topic discussed in Physics, projectile motion is calculated from three things: a quadratic Y-component, a linear X-component, and the force of gravity. The resulting graph created by the parametric equations maps the motion of the projectile, which can then be used for tasks such as gauging the travel distance of a projectile, the effect of gravity on the projectile, often called drop, over time at varying distances.

### Source: http://www.ck12.org/book/CK-12-Precalculus-Concepts/section/10.5/:

Source: http://www.ck12.org/book/CK-12-Precalculus-Concepts/section/10.5/ Example 1:

### Career: Ballistic Specialist:

Career: Ballistic Specialist Ballistic specialists provide the science behind bullets and the destruction they leave. They can determine the speed, distance, drop, and penetration of any bullet in any situation. Using the projectile motion graph created from parametric equations, and a penetration test, they can determine how a person was shot and from how far and where the shooter shot from. On a constructive note, or destructive, depending on your view, these specialists also design the bullet drop compensation system for scopes on long range rifles, as to make sure a sniper’s bullet hits its mark.

### Differentiation: Optimization (Economics):

Differentiation: Optimization (Economics) Differentiation and optimization are found in every facet of life, economics is no exception. Profit and expenses can be given by a differentiable function. The slope of the function, when used to find the critical points of the function, can be used to find the maximum/minimum amount of profit or expense in the financial situation exhibited by the function.