document.write( "Question 1007759: With what velocity will a stone strike the ground if dropped from the top of the building 400 ft high?Solve by integration. \n" ); document.write( "

Algebra.Com's Answer #623592 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Assuming there is no air resistance and gravity $\"g\"$ is equal to $\"32.2\"$ $\"%28ft%29%2Fs%5E2\"$
\n" ); document.write( " $\"v=int%28a%2Cdt%29=-gt%2Bc%5B1%5D\"$
\n" ); document.write( "When $\"t=0\"$ , $\"v=0\"$ .
\n" ); document.write( " $\"c%5B1%5D=0\"$
\n" ); document.write( " $\"v=-gt\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"d=int%28v%2Cdt%29=-%28g%2F2%29t%5E2%2Bc%5B2%5D\"$
\n" ); document.write( "When $\"t=0\"$ , $\"d=400\"$
\n" ); document.write( " $\"c%5B2%5D=400\"$
\n" ); document.write( " $\"d=-16.1t%5E2%2B400\"$
\n" ); document.write( "Find $\"t\"$ when the stone hits the ground $\"d=0\"$ ,
\n" ); document.write( " $\"16.1t%5E2=400\"$
\n" ); document.write( " $\"t%5E2=400%2F16.1\"$
\n" ); document.write( " $\"t=4.98\"$
\n" ); document.write( "So then the velocity is,
\n" ); document.write( " $\"v=-32.2%284.98%29\"$
\n" ); document.write( " $\"v=-160.5\"$ $\"fps\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );