document.write( "Question 979611: \"An object is launched vertically in the air from a 10-meter tall platform. The height (in meters) of the object t seconds after it was launched is modeled by the function: h(t)=-16t^2+36t+10. How long will it take for the object to reach its maximum height? what is the maximum height?\r
\n" );
document.write( "\n" );
document.write( "a) the t-coordinate of the vertex is given by t=-b/2a= _______
\n" );
document.write( "b). the object reaches it maximum height ___ seconds after launch.\r
\n" );
document.write( "\n" );
document.write( "a). h(1.125)=_____
\n" );
document.write( "b) the maximum height of the object is ____ meters. \r
\n" );
document.write( "\n" );
document.write( "any help with this would be appreciated thank you so much \n" );
document.write( "
Algebra.Com's Answer #600914 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! An object is launched vertically in the air from a 10-meter tall platform. The height (in meters) of the object t seconds after it was launched is modeled by the function: h(t)=-16t^2+36t+10. How long will it take for the object to reach its maximum height? what is the maximum height? \n" ); document.write( "============================ \n" ); document.write( "h(t)=-16t^2+36t+10 is used on Earth for the height in feet (not meters). \n" ); document.write( "=================== \n" ); document.write( "a) the t-coordinate of the vertex is given by t=-b/2a= _ \n" ); document.write( "It's -b/2a. Sub for b and a from the quadratic. \n" ); document.write( "=================== \n" ); document.write( "b). the object reaches it maximum height ___ seconds after launch. \n" ); document.write( "At the vertex, at t = -b/2a. \n" ); document.write( "=============================== \n" ); document.write( "a). h(1.125)=_____ \n" ); document.write( "Sub 1.125 for t in h(t)=-16t^2+36t+10 \n" ); document.write( "------------------- \n" ); document.write( "b) the maximum height of the object is ____ meters. \n" ); document.write( "It's not clear if it's meters or feet, but look at b above (the 1st b). \n" ); document.write( " \n" ); document.write( " |