document.write( "Question 387724: . If a stone is tossed from the top of a 350 meter building, the height of the stone as a function of time is given by h(t) = -9.8t2 – 10t + 350, 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 #274140 by Earlsdon(6294) $\"\"$ $\"About$

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Think about the height (h) of the stone when it reaches the ground!
\n" ); document.write( "It's zero! So you want to find the value of t (time) when the height (h) = 0.
\n" ); document.write( " $\"h%28t%29+=+-9.8t%5E2-10t%2B350\"$ Set h(t) = 0 and solve for t.
\n" ); document.write( " $\"-9.8t%5E2-10t%2B350+=+0\"$ Solve using the quadratic formula: $\"t+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2\"$ and, here, a = -9.8, b = -10, and c = 350
\n" ); document.write( "When you do this you will get:
\n" ); document.write( " $\"t+=+-6.50808\"$ or $\"t+=+5.4876\"$ Discard the negative solution as the time, t, should be a positive quantity.
\n" ); document.write( "The stone will hit the ground after 5.49 seconds. \n" ); document.write( "

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