Your question here is too broad to suggest or discuss any particular methodology. The correct answer might be: "Any". It would be helpful to think about your objectives, available resources and expected outcomes.
It depends on your study, data type, target sample and the size of sample. For instance, I believe longitudinal mixed method approach is a good method for a social research to provide rich information. However, if you are working on very limited sample, a cross sectional study using interviews or questionnaire would also work. It is about to what degree you are expected to contribute in that topic.
Which kind of research methodology is good for social science?
Generally research methodology in social science can include quantitative, qualitative & mixed methods. Which method to use is depending on your research problem, research objective(s) & research question(s). For example, if your research consists of a preconceived conceptual framework / research model with some independent & dependent variables, mediators, moderators, hypotheses etc., needs to compare variables' differences or require some cause & effect experimental studies etc., you can adopt quantitative research method.
Another example - if your research is to study in-depth on certain phenomena to understand deeper why & how those phenomena were being developed, what are their implication etc., you might consider qualitative research method. In the event you want to combine both quantitative & qualitative research mentioned above, you can conduct mixed method research. There are various mixed method research designs which include: Sequential Explanatory Design, Sequential Exploratory Design, Sequential Transformation Design, Concurrent Triangulation Design, Concurrent Embedded Design etc.
Methods are windows to the real world and the nature of our research question and of the real problem we deal with can actually lead us to the choice of the right method.
(I think you can take some tips here: http://www.cairn-int.info/article-E_RFSP_613_0513--sociological-intervention.htm)
The following sources should also be helpful to your topic:
Bryman, A. (2012). Social Research Methods, New York, Oxford University Press Inc.
Onwuegbuzie, A. J. and Collins , K. M. T. (2007). A Typology of Mixed Methods Sampling Designs in Social Science Research. The Qualitative Report 12, 2, pp. 281-316
Ritchie, J. and Lewis, J. (2003). Qualitative research practice: A guide for social science students and researchers, London, SAGE Publications.
The research question will inform the design of the study. Based on the purpose of the study(e.g. to generate theory, to test theory, to investigate relationships among variables and generalize the results), you might chose qualitative, quantitative, or a mix of both methods.
It depends on exactly what your study outcomes wish to achieve. Generally, a well -articulated qualitative approach can achieve the intended outcomes pretty easily.
Your question here is too broad to suggest or discuss any particular methodology. The correct answer might be: "Any". It would be helpful to think about your objectives, available resources and expected outcomes.