Q. Someone who exercises every day may he continue to do so during the nine days? Such as using treadmill elliptic etc.
A. There is no prohibition on jogging or performing physical exercises per se during the nine days. However, doing them vigorously may be a cause for bathing, which is prohibited during that period. Arguments could be made that showering with cold water when someone is sweated or dirty is permitted.(Sheorim Hametzuyonim 551:12), Aruch Hashulchon O.C. 551:37 allows even with hot water, (see Igrois Moishe E.H. 4:84, Shevet Halevy 7:77).
Horav Shlomo Miller's Shlit"a opinion is that for the short period involved, if possible (when there is no special concern for health reasons) it should be avoided, in honor and remembrance of the churban Bais Hamikdosh.