document.write( "Question 678584: You and a friend are hiking in the mountains. You want to climb to a ledge that is 20 ft. above you.
\n" ); document.write( "The height of the grappling hook you throw is given by the function
\n" ); document.write( "h(t) = -16t^2− 32t + 5 . What is the
\n" ); document.write( "maximum height of the grappling hook? Can you throw it high enough to reach the ledge? \n" ); document.write( "
Algebra.Com's Answer #421627 by ankor@dixie-net.com(22740)\"\" \"About 
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The height of the grappling hook you throw is given by the function
\n" ); document.write( "h(t) = -16t^2 - 32t + 5 . What is the maximum height of the grappling hook?
\n" ); document.write( " Can you throw it high enough to reach the ledge?
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\n" ); document.write( "No, the -32t means it is thrown downward at 32 ft/sec. Upward would be + 32t
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\n" ); document.write( "Assuming the Equation should be -16t^2 + 32t + 5
\n" ); document.write( "h = -16t^2 + 32t + 5
\n" ); document.write( "find the vertex by finding the axis of symmetry first
\n" ); document.write( "t = -32/(2*-16)
\n" ); document.write( "t = -32/-32
\n" ); document.write( "t = +1 second to reach max height
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\n" ); document.write( "Find the height
\n" ); document.write( "h = -16(1^2) + 32(1) + 5
\n" ); document.write( "h = -16 + 32 + 5
\n" ); document.write( "h = 21 ft is the max height so seems like you would be able to \n" ); document.write( "
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