document.write( "Question 389256: Jason jumped off a cliff into the ocean while vacationing with some friends. His height as a function of time could be modeled by the function h(t)= ­16tē + 16t + 480, where t is the time in seconds and h is the height is feet.
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Algebra.Com's Answer #275790 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!

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document.write( "Hi,  
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document.write( "Note: the vertex form of a parabola, \"y=a%28x-h%29%5E2+%2Bk\" 
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document.write( "where(h,k) is the vertex 
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document.write( "  h(t)= ­-16tē + 16t + 480  Believe there should be a minus squared term   
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document.write( "h(t)= ­-16t^2 + 16t + 480  completeing the square to find the vertex
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document.write( "h(t)= ­-16(t^2 - t) + 480
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document.write( "h(t)= -­16[(t - 1/2)^2 - 1/4] + 480
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document.write( "h(t)= ­-16(t - 1/2)^2 + 4 + 480
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document.write( "h(t)= ­-16(t + 1/2)^2 + 484 vertex is Pt(1/2,484) or ordered pair (t,h(t))
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document.write( "a. How long did it take for Jason to reach his maximum height? 1/2  sec
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document.write( "b. What was the highest point that Jason reached? 484ft
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document.write( "c. Jason hit the water after how many seconds?
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document.write( "h(t)= 0 = ­­-16tē + 16t + 480
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document.write( "\"t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
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document.write( "\"t+=+%28-16+%2B-+sqrt%2830976%29%29%2F%28-32%29+\"
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document.write( "\"t+=+%28-16+%2B-+176%29%2F%28-32%29+\"
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document.write( "  t = 160/32 = -5 extraneous solution
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document.write( "  t = 192/32 = 6 sec\r
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