document.write( "Question 1171810: An object is attached to a coiled spring. The object is pulled down (negative direction from the rest position) 2 centimeters, and then released. Write an equation for the distance d of the object from its rest position, after t seconds if the amplitude is 2 centimeters and the period is 6 seconds. \n" ); document.write( "
Algebra.Com's Answer #796755 by htmentor(1343)![]() ![]() You can put this solution on YOUR website! The initial position is the maximum displacement of -2 cm, since the positive \n" ); document.write( "direction is up. The object oscillates back and forth between d = -2 \n" ); document.write( "and d = 2 cm. Since the period is 6 s, the angular velocity, \n" ); document.write( "w = 2*pi/T = pi/3. \n" ); document.write( "Thus, the distance d is described by: d(t) = -2cos(wt) = -2cos(pi/3*t) \n" ); document.write( "The graph is shown below: \n" ); document.write( " ![]() |