document.write( "Question 1103834: Determine the position function if the acceleration function is a(t) = t^2+1, the initial velocity is v(0) = 4 and the initial position is s(0) = 0 . \n" ); document.write( "

Algebra.Com's Answer #718545 by Fombitz(32388) $\"\"$ $\"About$

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Integrate to get the velocity,
\n" ); document.write( " $\"v%28t%29=t%5E3%2F3%2Bt%2BC%5B1%5D\"$
\n" ); document.write( "Integrate again to get the position,
\n" ); document.write( " $\"s%28t%29=t%5E4%2F12%2Bt%5E2%2F2%2BC%5B1%5D%2At%2BC%5B2%5D\"$
\n" ); document.write( "Solving for $\"C%5B1%5D\"$ ,
\n" ); document.write( " $\"0%5E3%2F3%2B0%2BC%5B1%5D=4\"$
\n" ); document.write( " $\"C%5B1%5D=4\"$
\n" ); document.write( "Solving for $\"C%5B2%5D\"$ ,
\n" ); document.write( " $\"0%5E4%2F12%2B0%5E2%2F2%2B4%280%29%2BC%5B2%5D=0\"$
\n" ); document.write( " $\"C%5B2%5D=0\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"highlight%28s%28t%29=t%5E4%2F12%2Bt%5E2%2F2%2B4t%29\"$ \n" ); document.write( "

\n" );