document.write( "Question 95463: The height h in feet of an object after t seconds is given by the function
\n" );
document.write( " h = –16t^2 + 30t + 4.
\n" );
document.write( "How long will it take the object to hit the ground? Round your answer to the nearest thousandth.
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #69466 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Let h=0 because the height is zero when the object hits the ground. \n" ); document.write( "Then solve for t. \n" ); document.write( "-------------- \n" ); document.write( "h = –16t^2 + 30t + 4. \n" ); document.write( "-16t^2+30t+4 = 0 \n" ); document.write( "Divide thru by -2 to get: \n" ); document.write( "8t^2-15t-2 = 0 \n" ); document.write( "Factor to get: \n" ); document.write( "(8t+1)(t-2)= 0 \n" ); document.write( "Positive solution: \n" ); document.write( "t = 2 seconds\r \n" ); document.write( "\n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |