document.write( "Question 592133: A golf ball is hit upward with a velocity of 66 feet per second (45 mph), its height h in feet above the ground after t seconds can be modeled by .
\n" );
document.write( "a. Determine when the ball strikes the ground.\r
\n" );
document.write( "\n" );
document.write( "b. When is the height of the ball 50 feet?\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " \r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #375853 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A golf ball is hit upward with a velocity of 66 feet per second (45 mph), its height h in feet above the ground after t seconds can be modeled by \n" ); document.write( "h(t) = -16t^2+66t \n" ); document.write( "----------------------------. \n" ); document.write( "a. Determine when the ball strikes the ground. \n" ); document.write( "The height will be zero when the ball trikes the ground: \n" ); document.write( "Solve: \n" ); document.write( "-16t^2+66t = 0 \n" ); document.write( "--- \n" ); document.write( "Factor: \n" ); document.write( "(-2t)(8t-33) = 0 \n" ); document.write( "t = 0 before the ball is hit. \n" ); document.write( "t = 33/2 = 15.5 seconds (time it hits the ground) \n" ); document.write( "------ \n" ); document.write( " \n" ); document.write( "b. When is the height of the ball 50 feet? \n" ); document.write( "Solve: \n" ); document.write( "-16t*2 + 66t = 50 feet \n" ); document.write( "-16t^2 + 66t - 50 = 0 \n" ); document.write( "-2(8t^2 - 32t + 25) = 0 \n" ); document.write( "----- \n" ); document.write( "8t^2-32t+25 = 0 \n" ); document.write( "------ \n" ); document.write( "t = [32 +- sqrt(32^2-4*8*25)]/16 \n" ); document.write( "------ \n" ); document.write( "t = [32 +- sqrt(224)]/16 \n" ); document.write( "--- \n" ); document.write( "t = [32 +- sqrt(4*56)]/16 \n" ); document.write( "---- \n" ); document.write( "t = 1.021 sec. on the way up \n" ); document.write( "t = 1.065 sec. on the way down \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================= \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |