document.write( "Question 889348: A projectile is launched from ground level with an initial velocity of v0 feet per second. Neglecting air resistance, its height in feet t seconds after launched is given by s= -16t^2+v0t. Find the time(s) the projectile will (a) reach a height of 192 feet (b) return to the ground when v0=128 feet per second. \n" ); document.write( "
Algebra.Com's Answer #538111 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! A projectile is launched from ground level with an initial velocity of v0 feet per second. Neglecting air resistance, its height in feet t seconds after launched is given by s= -16t^2+v0t. Find the time(s) the projectile will (a) reach a height of 192 feet (b) return to the ground when v0=128 feet per second. \n" ); document.write( "---------- \n" ); document.write( "s= -16t^2+v0t \n" ); document.write( "s(t) = -16t^2 + v0t \n" ); document.write( "(a) reach a height of 192 feet \n" ); document.write( "---- \n" ); document.write( "s(t) = -16t^2 + 128t = 192 \n" ); document.write( "-16t^2 + 128t = 192 \n" ); document.write( "Solve for t, it's just a quadratic. \n" ); document.write( "======================== \n" ); document.write( "-16t^2 + 128t = 0 \n" ); document.write( "Even easier. \n" ); document.write( "---------------- \n" ); document.write( "This aint rocket science. \n" ); document.write( " |