document.write( "Question 150603: An astronaut on the moon tosses a ball upwards; by how much will the height of the ball exeed 100 feet if the ball's height follows:
\n" ); document.write( "h(t)= -2.6t(second power) +32.1t+5.5 \n" ); document.write( "

Algebra.Com's Answer #110571 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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An astronaut on the moon tosses a ball upwards; by how much will the height of the ball exceed 100 feet if the ball's height follows:
\n" ); document.write( ":
\n" ); document.write( "h(t)= -2.6t^2 + 32.1t + 5.5
\n" ); document.write( ":
\n" ); document.write( "Find the axis of symmetry x = $\"%28-b%29%2F%282a%29\"$
\n" ); document.write( "a=-2.6; b=32.1
\n" ); document.write( "t = $\"%28-32.1%29%2F%282%2A-2.6%29\"$
\n" ); document.write( "t = $\"%28-32.1%29%2F%28-5.2%29\"$
\n" ); document.write( "t = +6.173 sec
\n" ); document.write( ":
\n" ); document.write( "Find the vertex (max)
\n" ); document.write( "h(t) = -2.6(6.173^2) + 32.1(6.173) + 5.5
\n" ); document.write( "h(t) = -2.6(38.106) + 198.153 + 5.5
\n" ); document.write( "h(t) = -99.075 + 198.153 + 5.5
\n" ); document.write( "h(t) = +104.578 ft
\n" ); document.write( ":
\n" ); document.write( "Exceeds 100 ft by 4.578 ft \n" ); document.write( "

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