document.write( "Question 1066936: An object is thrown upward from the top of a 160-foot building with an initial velocity of 144 feet per second. The height h of the object after t seconds is given by the quadratic equation h= −16t^2+144t+160. When will the object hit the ground? \n" ); document.write( "
Algebra.Com's Answer #682155 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! An object is thrown upward from the top of a 160-foot building with an initial velocity of 144 feet per second. \n" ); document.write( " The height h of the object after t seconds is given by the quadratic equation h= −16t^2+144t+160. \n" ); document.write( " When will the object hit the ground? \n" ); document.write( ": \n" ); document.write( "When the objects hits the ground, h=0 therefore we can write this: \n" ); document.write( "-16t^2 + 144t + 160 = 0 \n" ); document.write( "Solve for t \n" ); document.write( "We can simplify this, divide thru by -16, resulting in: \n" ); document.write( "t^2 - 9t - 10t = 0 \n" ); document.write( "Factors easily to \n" ); document.write( "(t-10)(t+1) = 0 \n" ); document.write( "The positive solution \n" ); document.write( "t = 10 seconds is the time from thrown to hitting the ground \n" ); document.write( " |