document.write( "Question 671426: A place kicker kicks the ball upward with a velocity of 32ft/sec. Ignoring the height of the kicking tee, how long after the ball is kicked does it hit the ground? Use the formula h(t)= -16ft squared + vt where h(t) is the height of the object in feet, v is the ball's initial velocity in ft/sec, and t is time in seconds. What is the highest point reached by the ball?
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #417417 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
A place kicker kicks the ball upward with a velocity of 32ft/sec. Ignoring the height of the kicking tee, how long after the ball is kicked does it hit the ground? Use the formula h(t)= -16ft squared + vt where h(t) is the height of the object in feet, v is the ball's initial velocity in ft/sec, and t is time in seconds. What is the highest point reached by the ball?
\n" ); document.write( "-----------------------
\n" ); document.write( " h(t)= -16ft squared + vt
\n" ); document.write( " h(t)= -16t^2 + 32t (I think you meant this)
\n" ); document.write( "---------
\n" ); document.write( "The highest point is the vertex of the parabola, @ t = -b/2a
\n" ); document.write( "t = -32/32 = 1 second.
\n" ); document.write( "h(1) = -16 + 32 = 16 feet
\n" ); document.write( "----------
\n" ); document.write( "how long after the ball is kicked does it hit the ground?
\n" ); document.write( "It hits the ground when h(t) = 0
\n" ); document.write( " h(t)= -16t^2 + 32t = 0
\n" ); document.write( "-16t^2 + 32t = 0
\n" ); document.write( "16t*(t - 2) = 0
\n" ); document.write( "t = 0 (when it's kicked straight up)
\n" ); document.write( "t = 2 seconds at impact
\n" ); document.write( "============
\n" ); document.write( "This guy's out of a job, kicking the ball straight up with a 2 second hang time.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );