At the instant $r=1\mathrm{.}5m,$ the $5$ kg disk is given a speed of $v=5\frac{m}{s},$ perpendicular to the elastic cord. $($Figure $1)$

Part A

Determine the speed of the disk at the instant $r=1\mathrm{.}2m.$ The disk slides on the smooth horizontal plane. Neglect its size. The cord has an unstretched length of $0\mathrm{.}5$ m $.$ Express your answer to three significant figures and include the appropriate units.

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Part B

Determine the rate of shortening of the elastic cord at the instant $r=1\mathrm{.}2m.$

Express your answer to three significant figures and include the appropriate units.

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