document.write( "Question 390828: If you are excelerating from 40 mph to 70 mph down a road and it takes you 9.8 seconds. How many feet will you have traveled? \n" ); document.write( "
Algebra.Com's Answer #277162 by richard1234(7193)\"\" \"About 
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Not enough information, since we don't know the rate of acceleration.\r
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\n" ); document.write( "\n" ); document.write( "However, solving a non-constant acceleration problem requires integral calculus so I'll just assume the acceleration is constant. Start with the equation\r
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\n" ); document.write( "\n" ); document.write( "\"X+=+%281%2F2%29%28at%5E2%29+%2B+v%5B0%5Dt+%2B+x%5B0%5D\" (assume \"x%5B0%5D+=+0\".\r
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\n" ); document.write( "\n" ); document.write( "Now, we have to do a ton of unit conversions. We have\r
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\n" ); document.write( "\n" ); document.write( "\"40+mi%2Fhr+=+58.667\" ft/s
\n" ); document.write( "\"70+mi%2Fhr+=+102.667\" ft/s
\n" ); document.write( "\"DELTA%28v%29+=+30+mi%2Fhr+=+44\" ft/s\r
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\n" ); document.write( "\n" ); document.write( "(you can attain these by multiplying by (1 hr)/(60 min), (1 min)/(60 s), (5280 ft)/(1 mi))\r
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\n" ); document.write( "\n" ); document.write( "Since acceleration equals \"44%2F9.8+=+4.49\" ft/s^2 we can plug in a, v[0], t.\r
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\n" ); document.write( "\n" ); document.write( "\"X+=+%281%2F2%29%284.49%2A9.8%5E2%29+%2B+40%289.8%29+=+607.6\" ft (I left out the units that occur with decimals since they create problems parsing the data on this site. The units have to be consistent anyway, it's also easy to show that is true).
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