document.write( "Question 56: How would you set up the following word problem:\r
\n" ); document.write( "\n" ); document.write( "You are hitting baseballs. When tossing the ball into the air, your hand is 5 feet above the ground. You hit the ball when it falls back to a height of 4 ft. If you toss the ball with an initial velocity of 25ft/sec, how much time will pass before you hit the ball?\r
\n" ); document.write( "\n" ); document.write( "Thanks! \n" ); document.write( "
Algebra.Com's Answer #24 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
How would you set up the following word problem: You are
\n" );
document.write( "hitting baseballs. When tossing the ball into the air, your
\n" );
document.write( "hand is 5 feet above the ground. You hit the ball when it 
\n" );
document.write( "falls back to a height of 4 ft. If you toss the ball with 
\n" );
document.write( "an initial velocity of 25ft/sec, how much time will pass 
\n" );
document.write( "before you hit the ball? Thanks!\r
\n" );
document.write( "\n" );
document.write( "Use the formula h = h0 + v0t - 16t2 since distance is given
\n" );
document.write( "in feet. (If distance were in meters, we would have to use
\n" );
document.write( "4.9 where the 16 is).\r
\n" );
document.write( "\n" );
document.write( "h0 represents the initial height. v0 represents the initial 
\n" );
document.write( "velocity, and h is height at the instant when t seconds have
\n" );
document.write( "elapsed.\r
\n" );
document.write( "\n" );
document.write( ">>...When tossing the ball into the air, your hand is 5 feet 
\n" );
document.write( "above the ground...<<\r
\n" );
document.write( "\n" );
document.write( "So h0 = 5\r
\n" );
document.write( "\n" );
document.write( ">>...you toss the ball with an initial velocity of 25ft/sec...<<\r
\n" );
document.write( "\n" );
document.write( "So v0 = 25\r
\n" );
document.write( "\n" );
document.write( "So we substitute 5 for h0 and 25 for v0, making our formula\r
\n" );
document.write( "\n" );
document.write( "h = 5 + 25t - 16t2\r
\n" );
document.write( "\n" );
document.write( ">>...You hit the ball when it falls back to a height of 4 ft...<<\r
\n" );
document.write( "\n" );
document.write( "So we wish to find t (the number of seconds) has elapsed at the
\n" );
document.write( "instant when the ball is 4 feet high, so we substitute 4 for h
\n" );
document.write( "and solve for t:\r
\n" );
document.write( "\n" );
document.write( "4 = 5 + 25t - 16t2\r
\n" );
document.write( "\n" );
document.write( "16t2 - 25t - 1 = 0\r
\n" );
document.write( "\n" );
document.write( "Use quadratic formula, get solutions  \r
\n" );
document.write( "\n" );
document.write( "-.04 and 1.6.  We ignore the negative answer.  So the answer is\r
\n" );
document.write( "\n" );
document.write( "1.6 seconds approximately.\r
\n" );
document.write( "\n" );
document.write( "Edwin \n" );
document.write( "
\n" );