document.write( "Question 268960: I throw a ball inot the air in a movie theater. I throw it up with an initial velocity of 64 feet/scecond froam a balcony 10 feet high. The ceiling of the theater is 58 feet high. When will the ball hit the ceiling/ \n" ); document.write( "
Algebra.Com's Answer #197057 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! I throw a ball into the air in a movie theater. I throw it up with an initial velocity of 64 feet/sec1024ond from a balcony 10 feet high. The ceiling of the theater is 58 feet high. When will the ball hit the ceiling/ \n" ); document.write( "000000000000000000 \n" ); document.write( "Height of the ball is h(t) = -16t^2+vot+so \n" ); document.write( "where vo is the initial velocity and so is the initial height. \n" ); document.write( "-------------- \n" ); document.write( "Your Problem: \n" ); document.write( "Solve 58 = -16t^2+64t+10 \n" ); document.write( "Rearrange: \n" ); document.write( "16t^2 - 64t + 48 = 0 \n" ); document.write( "--- \n" ); document.write( "Factor: \n" ); document.write( "16(t^2-4t + 3) = 0 \n" ); document.write( "16(t-3)(t-1) = 0 \n" ); document.write( "--- \n" ); document.write( "Smaller positive solution: \n" ); document.write( "t = 1 second \n" ); document.write( "The ball will hit the ceiling in one second. \n" ); document.write( "=========================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |