document.write( "Question 537640: a high speed bullet train accelerates and decelerates at a rate =6 feet per second square. It's maximum cruising speed =95mi/h. Find the minimum time that the train takes to travel between two consecutive stations that are =40 miles apart. \n" ); document.write( "

Algebra.Com's Answer #352941 by Alan3354(69443) $\"\"$ $\"About$

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a high speed bullet train accelerates and decelerates at a rate =6 feet per second square. It's [sic] maximum cruising speed =95mi/h. Find the minimum time that the train takes to travel between two consecutive stations that are =40 miles apart.
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\n" ); document.write( "95 mi/hr = 95*22/15 ft/sec = 418/3 ft/sec
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\n" ); document.write( "The time to accelerate from 0 to 418/3 at 6 ft/sec/sec = (418/3)/6 seconds
\n" ); document.write( "= 209/9 seconds at the start and at the end of the trip.
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\n" ); document.write( "Distance traveled in 209/9 seconds = (1/2)*(209/9)*(418/3) times 2
\n" ); document.write( "= 83762/27 feet (apx 1618 ft starting, and 1618 stopping)
\n" ); document.write( "--------------
\n" ); document.write( "40 miles = 211200 feet
\n" ); document.write( "211200 - 3236 = 207964 ft @ 418/3 ft/sec --> 1492.56 seconds at cruise
\n" ); document.write( "1492.56 + 2*(209/9) = 1539 seconds
\n" ); document.write( "= 25' 39\"
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\n" ); document.write( "I rode the TGV from Paris to Brussels, it goes 345 mi/hr
\n" ); document.write( "PS it's = it is \n" ); document.write( "

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