document.write( "Question 475943: how long will it take a ball dropped from top of a 225 foot tall building to hit the ground? rounded 2 decimals \n" ); document.write( "

Algebra.Com's Answer #326429 by Earlsdon(6294) $\"\"$ $\"About$

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Start with the function of the height of a falling object as a function of time:
\n" ); document.write( " $\"h%28t%29+=+-%281%2F2%29gt%5E2%2Bv%5B0%5Dt%2Bh%5B0%5D\"$ where: $\"g+=+32ft%2Fsec%5E2\"$ (acceleration due to gravity), $\"v%5B0%5D+=+0\"$ ( initial velocity), and $\"h%5B0%5D+=+225\"$ (initial height)
\n" ); document.write( "When the ball reaches the ground, its height is zero, so set $\"h%28t%29+=+0\"$
\n" ); document.write( " $\"0+=+-16t%5E2%2B225\"$ Solve for t.
\n" ); document.write( " $\"16t%5E2+=+225\"$
\n" ); document.write( " $\"t%5E2+=+225%2F16\"$
\n" ); document.write( " $\"t%5E2+=+14.0625\"$
\n" ); document.write( " $\"t+=+3.75\"$ seconds. \n" ); document.write( "

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