document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #276262 by richard1234(7193) $\"\"$ $\"About$

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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.\r
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\n" ); document.write( "\n" ); document.write( "However...I'm a little confused as to why we integrate position. \n" ); document.write( "

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