To rank the objects from fastest average rolling speed to slowest, we can consider their rotational inertia. Rotational inertia is determined by the mass and distribution of mass around the rotation axis, with objects having lower rotational inertia rolling faster.
1. Large marble: The large marble has a relatively small mass, and its mass is well-distributed close to its rotation axis. Hence, it will have the fastest average rolling speed among the listed objects.
2. Penny: The penny also has a small mass, but its mass is evenly distributed throughout its shape. Although slightly slower than the large marble, the penny will have a relatively fast average rolling speed.
3. Basketball: The basketball has a much larger mass compared to the previous two objects. Its mass is distributed away from the rotation axis, which increases its rotational inertia. Consequently, the basketball will have a slower average rolling speed than the large marble and penny.
4. Hula hoop: The hula hoop has the largest mass among the listed objects and also has a significant portion of its mass distributed away from the rotation axis. This makes it have the highest rotational inertia, resulting in the slowest average rolling speed compared to the other objects.
Therefore, the rank from fastest to slowest average rolling speed is as follows:
1. Large marble
2. Penny
3. Basketball
4. Hula hoop