A bicycle and rider travel along a road. Which of the following statements is true?

a. Only the rider undergoes a translation.
b. Only the bicycle undergoes translation.
c. Neither the bicycle nor the rider undergoes a translation.
D. The bicycle and rider undergo translation

Unless the bike and rider are separated, both are moving in translation.

c

The correct statement is option D: The bicycle and rider undergo translation.

To determine which of the following statements is true, let's first define what translation means in the context of motion.

Translation refers to the linear motion or movement of an object from one point to another without any rotation or change in orientation. In other words, it is the movement of an object along a straight path.

Considering this definition, we can now analyze the given situation.

When a bicycle and rider travel along a road, both the rider and the bicycle are moving in a straight line. Therefore, the bicycle and the rider are both experiencing translation since they are moving without any rotation or change in orientation.

So, the correct answer is:

D. The bicycle and rider undergo translation.