document.write( "Question 1172180: 2. A toy rocket is fired into the air from the top of a barn. Its height (h) above the ground in yards after t seconds is given by the function h(t)=−5t2+10t+20. Show clear solutions thanksss!\r
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document.write( "a. What was the maximum height of the rocket?
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document.write( "b. How long was the rocket in the air before hitting the ground? \n" );
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Algebra.Com's Answer #797131 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! h(t)=-5t^2+10t+20 \n" ); document.write( "maximum height is where t=-b/2a or -10/-10 or 1 second after leaving. \n" ); document.write( "that is 25 feet high. \n" ); document.write( "- \n" ); document.write( "set the equation equal to 0 \n" ); document.write( "-5(t^2-2t-4)=0 \n" ); document.write( "t=(1/2)(2+/- sqrt 20); sqrt (20) is 2 sqrt(5), the numerator 2s cancel \n" ); document.write( "=1+/-sqrt(5) \n" ); document.write( "3.236 seconds, only positive root \n" ); document.write( " |