Final answer:
Unsuccessful PT performance and unsuccessful participation are related but not necessarily interchangeable; the best answer is 'none of the above'. Displacement being the same regardless of following directions is typically false in the context of physics.
Step-by-step explanation:
The question "Unsuccessful PT performance interchangeable with unsuccessful participation are interchangeable" suggests a confusion in terms. Unsuccessful performance in physical training (PT) inherently means that the participation in the activity did not meet certain standards or expectations. Hence, one could consider unsuccessful performance to be a type of unsuccessful participation. However, it is also true that someone could unsuccessfully participate in PT by not fully engaging or attempting the exercises despite being physically present, which might not be captured by simply evaluating performance outcomes. Therefore, they are related but not necessarily interchangeable.
Regarding the multiple-choice options provided:
- individual performance cannot be evaluated
- the task is easy
- both a and b
- none of the above
The correct answer using the options given is d. none of the above, because those options do not fully explain the interchangeability between unsuccessful PT performance and unsuccessful participation.
Additionally, the statement "displacement will be the same as it would have been had he followed directions correctly" seems to be an unrelated physics concept. Whether the displacement will be the same or not depends on the context and what directions were given. Typically, if the directions pertain to the method of achieving a certain displacement, and the person does not follow them correctly, the displacement achieved could be different. Thus, the answer to this would likely be b. False.