document.write( "Question 103806This question is from textbook Precalculus A GRAPHING APPROACH
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document.write( ": My question is given the equation s=-16t^2+initial velocity x t+initial height, a rocket is fired upward from ground level with an initial velocity of 1600 feet/sec. When does the rocket reach its maximum height and how high is it at that time? \n" );
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Algebra.Com's Answer #75533 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! given the equation s=-16t^2+initial velocity x t+initial height, a rocket is fired upward from ground level with an initial velocity of 1600 feet/sec. When does the rocket reach its maximum height and how high is it at that time? \n" ); document.write( "---------------- \n" ); document.write( "EQUATION: \n" ); document.write( "s(t) = -16t^2 + 1600x \n" ); document.write( "------------------ \n" ); document.write( "You have a quadratic with a = -16 and b = 1600 \n" ); document.write( "----------- \n" ); document.write( "Maximum height occurs when t = -b/2a = -1600/(-32) = 50 seconds \n" ); document.write( "-------------- \n" ); document.write( "Height at that time is s(50): \n" ); document.write( "s(50) = -16(50^2) + 1600(50) = 40,000 ft. \n" ); document.write( "============ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |