A more thorough explanation:

Definition: Pursuit is an activity or hobby that someone enjoys doing. It can also refer to the act of chasing someone or something in order to catch or arrest them. This is also known as fresh pursuit.

• Playing video games is a pursuit that many people enjoy in their free time.
• Police officers were in pursuit of the suspect who had fled the scene of the crime.
• During a game of tag, the children were in pursuit of the person who was "it".

The first example illustrates the first definition of pursuit, as playing video games is a common pastime for many people. The second and third examples illustrate the second definition of pursuit, as the police officers and children were both chasing after someone or something.