SOLUTION: suppose that the position of a roller coaster travelling downhill can be modeled by the function f(x) = 88 - 16x^2. Use a graphing calculator to graph the function and find the are

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Question 389730: suppose that the position of a roller coaster travelling downhill can be modeled by the function f(x) = 88 - 16x^2. Use a graphing calculator to graph the function and find the area under the curve for the domain 0 < or equal x < or equal to 2.3 is the approxiamate time in seconds it takes for the coaster to get to the bottom of the hill.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The area is simply int%2888+-+16x%5E2%2C+dx%2C+0%2C+2.3%29 where x represents time. The indefinite integral int%2888+-+16x%5E2%2C+dx%29 is equal to 88x+-+16x%5E3%2F3 by the Power Rule. Evaluate it at x = 2.3 and subtract the value obtained at x = 0.

However...I'm a little confused as to why we integrate position.