document.write( "Question 1047374: At a hockey game, small foam hockey pucks are launched at a height of 2 m above the ice level by using a\r
\n" ); document.write( "\n" ); document.write( "special sling shot. How long is a puck in the air if a student in the stands catches it on its way down 12 m above\r
\n" ); document.write( "\n" ); document.write( "the ice level? The model for the vertical motion of the puck can be approximated by the relation h=-5t^2+15t+2\r
\n" ); document.write( "\n" ); document.write( ", where is the time in seconds, and is the height in metres. \n" ); document.write( "

Algebra.Com's Answer #662927 by Boreal(15235) $\"\"$ $\"About$

You can put this solution on YOUR website!
-5t^2+15t+2=12, and the longest time period is the value we want (there are two solutions)
\n" ); document.write( "-5t^2+15t-10=0
\n" ); document.write( "divide by -5
\n" ); document.write( "t^2-3t+2=0
\n" ); document.write( "(t-2)(t-1)=0
\n" ); document.write( "t=1,2 seconds.
\n" ); document.write( "t=2 seconds when it is on its way down at 12 meters above the ice.
\n" ); document.write( " $\"graph%28300%2C300%2C-5%2C5%2C-10%2C20%2C-5x%5E2%2B15x%2B2%29\"$
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