Final answer:
A rolling pin has rotational symmetry about its longitudinal axis, making it the correct answer, while a car, a set of rectangular stairs, and a stapler do not demonstrate this symmetry.
Step-by-step explanation:
The question relates to the concept of rotational symmetry in three-dimensional objects, which is a part of the study of Physics, specifically dealing with rotational motion. The answer to which of the listed objects has rotational symmetry about a line is C. a rolling pin. A rolling pin has rotational symmetry because when it rotates about its longitudinal axis, its appearance is unchanged after a certain angle of rotation. In contrast, objects like a car, a set of rectangular stairs, and a stapler do not exhibit this symmetry because their appearance changes visibly when they are rotated about any line.