Find an article that refers to definite integral. It\'s possible that you will b

Question

Find an article that refers to definite integral. It's possible that you will be able to find an explicit mention of a definite integral. Much more likely, though, the definite integral will be implied--the article will actually be about accumulated change. You may look on the Internet, or in any newspaper, magazine, or trade journal. Your example must come from a setting outside of calculus class. In a particular, you may not use any example from our textbook, any other math textbook or any website designed to explain math, or any other discussion of calculus you find online. I want to see a real-time definite integral! What do you post? 1. A copy of the article with complete source information. 2. Write a few sentence telling what the integrated (the function inside the integral) represents, what the limits of integration are, and what the definite integral represents. 3. Assign some letters to the variables here. Using the letters you have chosen and the notation we have learned, write the definite integral that you have found. Show that the units work properly in your example. I don't you to compute anything here.

Explanation / Answer

1) Let us discuss shot putting. It is a game that requires players to throw a solid metallic ball as far away as they can with one hand. The calculus can be used to determine the distance covered by each put and then finally checking which one goes far away.

Here is the link to source of information:

http://digitaltrackandfield.com/shot-put-discus-technique/

2 & 3) Equation of the path of the metallic ball will be parabolic. So the integrand will be sqrt (1+(dy/dx)^2). Where the y is the parabolic equation. Limits for integration will be the horizontal range of parabola, which can be easily found.

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