document.write( "Question 87993: a coin is dropped from a height of 750 feet. the height,s,at time,t, is given by s=-16t^2+750.\r
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document.write( "a. find the average velocity on the interval[1,3]
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document.write( "b. find the instantaneous velocity when t=3
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document.write( "c. find the velocity of the coin when it hits the ground \n" );
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Algebra.Com's Answer #63873 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! a coin is dropped from a height of 750 feet. the height,s,at time,t, is given by s=-16t^2+750. \n" ); document.write( "a. find the average velocity on the interval[1,3] \n" ); document.write( "Average = [s(3)-s(1)]/[3-1} \n" ); document.write( "---------- \n" ); document.write( "b. find the instantaneous velocity when t=3 \n" ); document.write( "Derivative = -32t \n" ); document.write( "Instantaneous velocity at t=3 = -32(3) = -96 ft/sec \n" ); document.write( "--------------- \n" ); document.write( "c. find the velocity of the coin when it hits the ground \n" ); document.write( "When it hits the ground s(t) = 0 \n" ); document.write( "Solve -16t^2+750 = 0 \n" ); document.write( "t^2 = 750/16 \n" ); document.write( "t = 6.847 seconds \n" ); document.write( "Velocity at t=6.847 sec = -32(6.847)= -219.09 ft/sec \n" ); document.write( "========= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |