document.write( "Question 1116114: Nick tossed a penny off a 20 foot bridge. The path of the penny’s height can be modeled by the equation h(t) = -16t^2 + 40t + 20. Find the maximum height of the penny. \n" ); document.write( "

Algebra.Com's Answer #730938 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Nick tossed a penny off a 20 foot bridge.
\n" ); document.write( " The path of the penny’s height can be modeled by the equation h(t) = -16t^2 + 40t + 20.
\n" ); document.write( " Find the maximum height of the penny.
\n" ); document.write( ":
\n" ); document.write( "Find the axis of symmetry, x = -b/(2a); a=-16, b=40
\n" ); document.write( "t = $\"%28-40%29%2F%282%2A-16%29\"$
\n" ); document.write( "t = $\"%28-40%29%2F%28-32%29\"$
\n" ); document.write( "t = 1.25 min to max height
\n" ); document.write( ":
\n" ); document.write( "h(t) = -16(1.25^2) + 40(1.25) + 20
\n" ); document.write( "h(t) = -16(1.5625) + 50 + 20
\n" ); document.write( "h(t) = -25 + 50 + 20
\n" ); document.write( "h(t) = 45 ft, max height
\n" ); document.write( " \n" ); document.write( "

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