document.write( "Question 970359: Hugh Betcha launched a model rocket with an initial speed of 88 feet per second. After how many seconds will the rocket be 40 feet high? Note: The approximate height h (in feet) is modeled by: h=-16t^2+vt, where t is the time in motion (in seconds) and v is the initial upward velocity (in feet per second). \n" ); document.write( "
Algebra.Com's Answer #593026 by amarjeeth123(569)![]() ![]() ![]() You can put this solution on YOUR website! Substituting the initial velocity we get, \n" ); document.write( "h=-16t^2+88t \n" ); document.write( "For 40 feet we have, \n" ); document.write( "40=-16t^2+88t \n" ); document.write( "16t^2-88t+40=0 \n" ); document.write( "2t^2-11t+5=0 \n" ); document.write( "2t^2-10t-t+5=0 \n" ); document.write( "2t(t-5)-1(t-5)=0 \n" ); document.write( "(2t-1)(t-5)=0 \n" ); document.write( "t=5 sec. \n" ); document.write( "At t=5 sec the rocket is at 40 feet from the ground. \n" ); document.write( " |