document.write( "Question 156303: A model rocket is launched from ground level. Its height, (h) meters above the ground, is a function of time (t) seconds after launch and is given by the equation h= -4.9t^2 + 68.6t. What would be the maximum height, to the nearest meter, attained by the model? \n" ); document.write( "
Algebra.Com's Answer #115230 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A model rocket is launched from ground level. Its height, (h) meters above the ground, is a function of time (t) seconds after launch and is given by the equation h= -4.9t^2 + 68.6t. What would be the maximum height, to the nearest meter, attained by the model? \n" ); document.write( ": \n" ); document.write( "Find the axis of symmetry of the equation to find the time of max height \n" ); document.write( "t = \n" ); document.write( ": \n" ); document.write( "t = \n" ); document.write( "t = +7 seconds \n" ); document.write( ": \n" ); document.write( "Substitute 7 for t in the equation to find the max height (vertex) \n" ); document.write( "h = -4.9(7^2) + 68.6(7) \n" ); document.write( "h = -240.1 + 480.2 \n" ); document.write( "h = +240.1 meters is the max height \n" ); document.write( " |