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The platform is rotating about the vertical axis such that at any instant its angular position is theta=4(t^(3/2)) rad, where t is in seconds. A ball rolls outward along the radial groove so that its position is r=.1(t^3) m, where t is in seconds. Determine the magnitude of the velocity and acceleration of the ball when t=1.5 s.

The platform is rotating about the vertical axis such that at any instant its angular position is theta=4(t^(3/2)) rad, where t is in seconds. A ball rolls outward along the radial groove so that its position is r=.1(t^3) m, where t is in seconds. Determine the magnitude of the velocity and acceleration of the ball when t=1.5 s.