$-16-137.$ Ball $C$ moves with a speed of $3\frac{m}{s},$ which is increasing at a constant rate of $1\mathrm{.}5\frac{m}{s^2},$ both measured relative to the circular plate and directed as shown. At the same instant the plate rotates with the angular velocity and angular acceleration shown. Determine the velocity and acceleration of the ball at this instant.$-16-137.$ Ball $C$ moves with a speed of $3\frac{m}{s},$ which is increasing at a constant rate of $1\mathrm{.}5\frac{m}{s^2},$ both measured relative to the circular plate and directed as shown. At the same instant the plate rotates with the angular velocity and angular acceleration shown. Determine the velocity and acceleration of the ball at this instant.