You asked
Is the tamron sp 70 200mm f 2 8 di vc usd good for sports?
Yes, for most sideline sport the Tamron SP 70-200mm f/2.8 Di VC USD is a good choice. The site's reach guide puts 70-200mm at the start of the range for sport from the sideline, and this lens's f/2.8 aperture lets you keep shutter speeds up in dim gyms and under stadium lights. It is also stabilised, which helps when you're handholding.
On a crop body the reach grows. On APS-C it frames like about 105-300mm on Nikon or 112-320mm on Canon, so it's useful even on a smaller camera. If you need more distance, look at the Tamron SP 70-200mm f/2.8 Di VC USD G2, a newer version in the same range. If the budget matters more than the f/2.8, the Tamron SP 70-300mm f/4-5.6 Di VC USD reaches further but gathers less light.
Written by Claude from this site's pages.