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A particle is executing SHM about y =0 a...

A particle is executing SHM about y =0 along y-axis. Its position at an instant is given by `y = (7m) sin (pit)`. Its average velocity for a time interval 0 to 0.5 s is

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A particle executes simple harmonic motion about x=0 along x-axis. The position of the particle at an instant is given by x= ( 5 cm) sin pi t . Find the average velocity and average acceleration for a time interval 0-0.5 s . Hint : Average velocity =( x_(2)- x_(1))/(t_(2)-t_(1)) x_(1) = 5 sin 0 x_(2) = 5 sin ( pi xx 0.5) t_(2) - t_(1) = 0.5 Average acceleration = ( v_(2) - v_(1))/( t_(2) - t_(1)) v=(dx)/(dt) = 5 pi cos pit implies a _(av) = ( 5 pi cos ( pi xx 0.5) -5 pi cos theta)/(0.5)

A particle executes simple harmonic motion about x=0 along x-axis. The position of the particle at an instant is given by x= ( 5 cm) sin pi t . Find the average velocity and average acceleration for a time interval 0-0.5 s . Hint : Average velocity =( x_(2)- x_(1))/(t_(2)-t_(1)) x_(1) = 5 sin 0 x_(2) = 5 sin ( pi xx 0.5) t_(2) - t_(1) = 0.5 Average acceleration = ( v_(2) - v_(1))/( t_(2) - t_(1)) v=(dx)/(dt) = 5 pi cos pit implies a _(av) = ( 5 pi cos ( pi xx 0.5) -5 pi cos theta)/(0.5)

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