There are a few interesting options to explore at the weekends in Vadodara. If you stay in MSU hostel and do not have any vehicle to commute then you can check on the following things:
If commuting is not an issue then you can explore some outskirts of Vadodara like - Sindhrot, Zarwani waterfall in Shoolpaneshwar, Jambughoda wildlife sanctuary, S-cube waterpark, Hathni waterfall (in monsoons), Kabirvad and Champaner.
If you are fond of historical sites and spiritual places then you can visit - The Lakshmi Vilas Palace, The Nazarbaug Palace, Qutbuddin Tomb, Tambekar Wada, Makarpura palace, Kirti Mandir and many more.