document.write( "Question 839493: One of the games at a carnival involves trying to ring a bell with a ball by hitting a lever that propels the ball into the air. If the ball is launched with an initial velocity of 39ft/s, and the bell is 25 ft. above the ground, will it be hit by the ball? \n" ); document.write( "

Algebra.Com's Answer #505721 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The problem is assuming that there is no friction on the way up.
\n" ); document.write( "Probably not true, but anyway:
\n" ); document.write( "Let $\"+h%28t%29+\"$ = the height above ground the ball reaches
\n" ); document.write( "The equation is:
\n" ); document.write( " $\"+h%28t%29+=+-16t%5E2+%2B+39t+\"$
\n" ); document.write( "The $\"+-16t%5E2+\"$ is due to the force of gravity pulling down
\n" ); document.write( "------------------
\n" ); document.write( "I have to find the peak, or vertex
\n" ); document.write( " $\"+t%5Bv%5D+=+-39%2F%282%2A%28-16%29%29+\"$
\n" ); document.write( " $\"+t%5Bv%5D+=+39%2F32+\"$
\n" ); document.write( "Now I need to find $\"+h%28+39%2F32+%29+\"$
\n" ); document.write( " $\"+h%28+39%2F3+2%29+=+-16%2A%28+39%2F32+%29%5E2+%2B+39%2A%28+39%2F32+%29+\"$
\n" ); document.write( " $\"+h%28+39%2F32+%29+=+-16%2A%28+39%2F32+%29%5E2+%2B+39%2A%28+39%2F32+%29+\"$
\n" ); document.write( " $\"+h%28+39%2F32+%29+=+-23.766+%2B+47.531+\"$
\n" ); document.write( " $\"+h%28+39%2F32+%29+=+23.765+\"$
\n" ); document.write( "This is short of 25 ft, so the ball doesn't hit the bell
\n" ); document.write( "Here's the plot:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-5%2C+5%2C+-5%2C+30%2C+-16x%5E2+%2B+39x+%29+\"$
\n" ); document.write( " \n" ); document.write( "

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