if a drug has a half life, after half of the drug leaves does it continue acting on the body

Yes, but half left in the bloodstream probably means effects will be moderated, or not noticed, or slightly masked.

When a drug has a half-life, it means that after a certain amount of time, half of the drug's active concentration within the body is eliminated. However, it doesn't necessarily mean that the drug's effects suddenly stop after half of it is eliminated.

After the initial half-life, the drug's concentration in the body will continue to decrease by half with each subsequent half-life period. Although the drug is being eliminated from the body, it may still have some remaining concentration and thus continue to exert its effects.

The exact duration and intensity of the drug's effects after elimination of half the dose will depend on factors such as the drug's potency, the rate of elimination, and the individual's metabolism. Some drugs may have a longer duration of action or a slower elimination rate, meaning they will continue to act on the body even after more than half has been eliminated.

To determine the drug's specific effects beyond its half-life, it is crucial to consult the drug's pharmacokinetics or consult a healthcare professional for more accurate information.