document.write( "Question 954484: A toy rocket is launched from the top of a building 340 feet tall at an initial velocity of 80 feet per second. The height of the rocket t seconds after launch is given by the equation s(t)=-16t^2+80t+340. When does the rocket reach its maximum height? What is the maximum height? \n" ); document.write( "
Algebra.Com's Answer #582947 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A toy rocket is launched from the top of a building 340 feet tall at an initial velocity of 80 feet per second. The height of the rocket t seconds after launch is given by the equation s(t)=-16t^2+80t+340. When does the rocket reach its maximum height? What is the maximum height? \n" ); document.write( "---------------- \n" ); document.write( "Maximum height occurs when t = -b/2a \n" ); document.write( "---- \n" ); document.write( "t = -80/(2*-16) = 2.5 seconds \n" ); document.write( "---- \n" ); document.write( "Max height = s(2.5) = -16(2.5)^2 + 80(2.5) + 340 = 442.5 ft \n" ); document.write( "------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------- \n" ); document.write( " |