document.write( "Question 934009: A cyclist has a head start of 75 m in a race and is moving with constant speed of 10m/s. You accelerate from rest at 2m/s^2. How long will it take you to catch the lead cyclist? \n" ); document.write( "

Algebra.Com's Answer #568096 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"d%5B1%5D=v%5B0%5D%2At%2Bd%5B0%5D=10t%2B75\"$
\n" ); document.write( " $\"d%5B2%5D=%281%2F2%29at%5E2=%281%2F2%29%282%29t%5E2=t%5E2\"$
\n" ); document.write( "Find $\"t\"$ when $\"d%5B1%5D=d%5B2%5D\"$
\n" ); document.write( " $\"t%5E2=10t%2B75\"$
\n" ); document.write( " $\"t%5E2-10t-75=0\"$
\n" ); document.write( " $\"%28t-15%29%28t%2B5%29=0\"$
\n" ); document.write( "Only the positive solution for $\"t\"$ makes sense here.
\n" ); document.write( " $\"t-15=0\"$
\n" ); document.write( " $\"t=15\"$ sec
\n" ); document.write( " \n" ); document.write( "

\n" );