document.write( "Question 585157: A bullet is shot vertically upward to a velocity of 96 ft/sec. The height h is in feet, atter t seconds is expressed by h=96t -16t^2. At what times was the bullet on the ground? At what time did the bullet reach its max height? What was the max height? \n" ); document.write( "
Algebra.Com's Answer #373168 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! A bullet is shot vertically upward to a velocity of 96 ft/sec. The height h is in feet, atter t seconds is expressed by h=96t -16t^2. At what times was the bullet on the ground? At what time did the bullet reach its max height? What was the max height? \n" ); document.write( "** \n" ); document.write( "h=96t -16t^2 \n" ); document.write( "solving for t when bullet on the ground. \n" ); document.write( "h=0 \n" ); document.write( "0=96t -16t^2 \n" ); document.write( "complete the square \n" ); document.write( "-16t(t-6)=0 \n" ); document.write( "t=0 (reject, t>0) \n" ); document.write( "t-6=0 \n" ); document.write( "t=6 seconds \n" ); document.write( ".. \n" ); document.write( "h=96t -16t^2 \n" ); document.write( "complete the square \n" ); document.write( "h=-16(t^2-6t+9)+144 \n" ); document.write( "h=-16(t-3)^2+144 \n" ); document.write( "This equation is that of a parabola that opens downwards with vertex at (3,144) \n" ); document.write( ".. \n" ); document.write( "ans: \n" ); document.write( "Bullet hit the ground in 6 sec \n" ); document.write( "Bullet reaches maximum height in 3 sec \n" ); document.write( "Maximum height=144 feet \n" ); document.write( " \n" ); document.write( " |