At the moment shown on the figure we notice that the velocity points down, which means that's is direction is pointing south. Now, the acceleration is not shown but since the object is moving in a circle, we know that the acceleration is a centripetal acceleration which means that its direction always point towards the center of the circle along the string; at this moment this means that the acceleration points west.
Therefore, at the moment shown:
The velocity points south.
The acceleration points west.
Note: The direction of the velocity and the acceleration will change as the object moves at any given point their direction will fulfil:
The velocity is tangent to the circle.
The acceleration points towards the center along the string.