document.write( "Question 65460: Students are having a gum spitting contest, and one student observes the gum follow a parabolic curve according to the equation -16x^2 +48x+4. What is the highest point the gum wad reaches and after how much time?
\n" ); document.write( " After how many seconds will the gum wad hit the ground? \n" ); document.write( "
Algebra.Com's Answer #45985 by stanbon(75887)\"\" \"About 
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equation h(x)= -16x^2 +48x+4. What is the highest point the gum wad reaches and after how much time?
\n" ); document.write( "High point at x=-b/2a=-48/(-32)=3/2
\n" ); document.write( "h(3/2)=-16(3/2)^2+48(3/2)+4
\n" ); document.write( "h(3/2)=-16(9/4)+72+4
\n" ); document.write( "h(3/2)=-36+76=40
\n" ); document.write( "The highest point is 40 ft.; the time is 1.5 seconds
\n" ); document.write( "-------------------
\n" ); document.write( "After how many seconds will the gum wad hit the ground?
\n" ); document.write( "When it hits the ground the height will be zero.
\n" ); document.write( "-16x^2+48x+4=0
\n" ); document.write( "Divide thru by 4 to get:
\n" ); document.write( "-4x^2+12x+1=0
\n" ); document.write( "x=[-12+-sqrt(144-4*-4**1]/-8
\n" ); document.write( "x=[-12+-sqrt160]/-8
\n" ); document.write( "x=[-12+4sqrt10]/-8 or x=[-12-4sqrt10]/-8
\n" ); document.write( "x=negative or x=[-24.649...]/-8=3.08 seconds
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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