document.write( "Question 593595: If a stone is tossed from the top of a 230 meter building, the height of the stone as a function of time is given by h(t) = -9.8t^2 – 10t + 230, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round to the nearest hundredth’s place; include units in your answer. \n" ); document.write( "

Algebra.Com's Answer #376533 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
h(t) = -9.8t^2 – 10t + 230,
\n" ); document.write( "When it hits the ground, h(t) = 0, therefore
\n" ); document.write( "-9.8t^2 – 10t + 230 = 0
\n" ); document.write( "Use the quadratic formula to find t
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "In this problem: x=t; a=-9.8; b=-10; c=230
\n" ); document.write( " $\"t+=+%28-%28-10%29+%2B-+sqrt%28-10%5E2-4%2A-9.8%2A230+%29%29%2F%282%2A-9.8%29+\"$
\n" ); document.write( ":
\n" ); document.write( " $\"t+=+%2810+%2B-+sqrt%28100%2B9016+%29%29%2F%28-19.6%29+\"$
\n" ); document.write( "I'll let you do the rather tedious math here, you should get a positive solution of about 4.36 seconds \n" ); document.write( "

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