document.write( "Question 434419: Need help setting up this equation. If an object is projected vertically upward from an altitude of s0 feet with an initial velocity of v0 ft/sec, then its distance s(t) above the ground after t seconds is
\n" ); document.write( "s(t) = −16t2 + v0t + s0.If s(1) = 79 and s(4) = 64, what are v0 and s0? \n" ); document.write( "

Algebra.Com's Answer #300970 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+s%28t%29+=+-16t%5E2+%2B+v%5B0%5D%2At+%2B+s%5B0%5D+\"$
\n" ); document.write( " $\"+s%5B1%5D+=+79+\"$
\n" ); document.write( " $\"+79+=+-16%2A%281%29%5E2+%2B+v%5B0%5D%2A1+%2B+s%5B0%5D+\"$
\n" ); document.write( " $\"+v%5B0%5D+%2B+s%5B0%5D+=+79+%2B+16+\"$
\n" ); document.write( "(1) $\"+v%5B0%5D+%2B+s%5B0%5D+=+95+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+s%284%29+=+64+\"$
\n" ); document.write( " $\"+64+=+-16%2A%284%29%5E2+%2B+v%5B0%5D%2A4+%2B+s%5B0%5D+\"$
\n" ); document.write( " $\"+4v%5B0%5D+%2B+s%5B0%5D+=+64+%2B+256+\"$
\n" ); document.write( "(2) $\"+4v%5B0%5D+%2B+s%5B0%5D+=+320+\"$
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) $\"+4v%5B0%5D+%2B+s%5B0%5D+=+320+\"$
\n" ); document.write( "(1) $\"+-v%5B0%5D+-+s%5B0%5D+=+-95+\"$
\n" ); document.write( " $\"+3v%5B0%5D+=+225+\"$
\n" ); document.write( " $\"+v%5B0%5D+=+75+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+75+%2B+s%5B0%5D+=+95+\"$
\n" ); document.write( " $\"+s%5B0%5D+=+20+\"$
\n" ); document.write( "check answers
\n" ); document.write( " $\"+64+=+-16%2A%284%29%5E2+%2B+v%5B0%5D%2A4+%2B+s%5B0%5D+\"$
\n" ); document.write( " $\"+64+=+-16%2A%284%29%5E2+%2B+75%2A4+%2B+20+\"$
\n" ); document.write( " $\"+64+=+-256+%2B+300+%2B+20+\"$
\n" ); document.write( " $\"+64+=+44+%2B+20+\"$
\n" ); document.write( " $\"+64+=+64+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );