Final answer:
From the bicyclist's perspective, you appear to be moving in the direction opposite to their motion. This example discusses relative motion, as observers in different frames reference perceive motion differently.
Step-by-step explanation:
The correct answer to the question regarding the direction in which you are moving from the perspective of a bicycle rider is b. in the direction opposite the motion of the bicyclist. While standing on a sidewalk, if the bicyclist is passing by to your right, in their reference frame you would appear to be moving to the left, which is the direction opposite to their motion. This is a classic example of relative motion, where motion is described from the point of view of different observers.
In the context of the other statements provided, while on the bus, your motion relative to an observer on the sidewalk will appear faster due to the combined speed of your walking and that of the bus. This ties into the broader concept of observers in different reference frames perceiving motion differently, as part of the fundamentals of physics.