Given a small disk (2-Kg) sliding on top of a smooth table which is connected to an elastic cord having a tension of 6r N (r radial position of the small disk is in meters). If we gave the disk a starting velocity of 4 m/s in the transverse direction when it is at r = 1 m, calculate: a- the magnitudes of the radial and transverse components of its velocity when r = 2 m? b- the maximum value of r reached by the disk.

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Exponential Growth Model

The relation that represents an exponential function is: