Ball B is suspended from a cord of length l attached to cart A, which can roll freely on a frictionless, horizontal track. The ball and the cart have the same mass m. If the ball is given an initial horizontal velocity v0 while the cart is at rest, describe the subsequent motion of the system, specifying the velocities of A and B for the following successive values of the angle θ (assume positive counterclockwise) that the cord will form with the vertical:

(a) θ = θ max,

(b) θ = 0,

(c) θ = θ min.

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B