document.write( "Question 1077665: A volleyball is thrown straight up. The equation that describes its motion is h(t) = -16t^2 + 48t + 4, where h represents the height in feet and t represents time in seconds. How long will it take for the ball to hit the ground? Round to the nearest hundredth, if necessary. \n" ); document.write( "
Algebra.Com's Answer #692120 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! h(t) = -16t^2 + 48t + 4 \n" ); document.write( "Let h(t)=0, and solve for the positive root \n" ); document.write( "Divide by 4 \n" ); document.write( "-4t^2+12t+1=0 or 4t^2-12t-1=0 \n" ); document.write( "t=(1/8)(12+/- sqrt (144+16); sqrt 160=12.65 \n" ); document.write( "t=24.65/8=3.08 sec \n" ); document.write( " |