document.write( "Question 808637: The equation h= 7cos(pi/3 t) models the height h in centimeters after t seconds of a weight attached to the end of a spring that has been stretched and then released.
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document.write( "A. Solve the equation for t.
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document.write( "B. Find the times at which the weight is first at a height of 1 cm, of 3 cm, and of 5 cm above the rest position. Round your answers to the nearest hundredth.
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document.write( "C. Find the times at which the weight is at a height of 1 cm, of 3 cm, and of 5 cm below the rest position for the second time. Round your answers to the nearest hundredth. \r
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document.write( "I did solve for t.
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document.write( "So A would be:
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document.write( "h=7cos((pi/3)t)
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document.write( "h/7=cos((pi/3)t)
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document.write( "arccos(h/7)=(pi)(t)/3
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document.write( "t=3arccos(h/7)/pi\r
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document.write( "ANY HELP WOULD BE NICE PLEASE AND THANK YOU!!! \n" );
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Algebra.Com's Answer #487178 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The equation h= 7cos(pi/3 t) models the height h in centimeters after t seconds of a weight attached to the end of a spring that has been stretched and then released. \n" ); document.write( "A. Solve the equation for t. \n" ); document.write( "I did solve for t. \n" ); document.write( "----------------------- \n" ); document.write( "h=7cos((pi/3)t) \n" ); document.write( "h/7=cos((pi/3)t) \n" ); document.write( "arccos(h/7)=(pi)(t)/3 \n" ); document.write( "t = [3arccos(h/7)]/pi \n" ); document.write( "------------------------------------\r \n" ); document.write( "\n" ); document.write( "B. Find the times at which the weight is first at a height of 1 cm, of 3 cm, and of 5 cm above the rest position. Round your answers to the nearest hundredth. \n" ); document.write( "t(1) = [3*cos^-1(1/7)]/pi = [3*81.79]/pi = 78.10 seconds \n" ); document.write( "--------------------- \n" ); document.write( "t(3) = ...... = 61.71 \n" ); document.write( "t(5) = ...... = 42.41 \n" ); document.write( "=============================\r \n" ); document.write( "\n" ); document.write( "C. Find the times at which the weight is at a height of 1 cm, of 3 cm, and of 5 cm below the rest position for the second time. Round your answers to the nearest hundredth. \n" ); document.write( "t(1) = 265.67 seconds \n" ); document.write( "t(3) = 282.06 seconds \n" ); document.write( "t(5) = 301.36 seconds \n" ); document.write( "======================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "======================= \n" ); document.write( " \n" ); document.write( " |