document.write( "Question 258677: The acceleration of an object after t seconds is a(t)=t^2+5ms^-2 . If the velocity at t=2 was 6ms^-1 , what was the velocity at t=4? \n" ); document.write( "

Algebra.Com's Answer #190567 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Acceleration is the derivative of velocity.
\n" ); document.write( "You can integrate to find velocity.
\n" ); document.write( " $\"a=t%5E2%2B5\"$
\n" ); document.write( " $\"v=%281%2F3%29t%5E3%2B5t%2BC\"$
\n" ); document.write( "Use the condition to solve for C.
\n" ); document.write( " $\"6=%281%2F3%29%288%29%2B5%282%29%2BC\"$
\n" ); document.write( " $\"C=6-8%2F3-10=-20%2F3\"$
\n" ); document.write( " $\"v%28t%29=%281%2F3%29t%5E3%2B5t-20%2F3\"$
\n" ); document.write( " $\"v%284%29=%281%2F3%29%2864%29%2B5%284%29-20%2F3\"$
\n" ); document.write( " $\"v%284%29=104%2F3\"$ \n" ); document.write( "

\n" );