first record your clip 60p frame rate and chose shutter speed 300 to 1000
next open new project in Vegas ,change properties to 24 frame rate add your clip to timeline
and now right click on your clip and go to Switches unselected Main Aspect Ratio and Reduce Interlace Flicker
and select Smart Resample . Right click on clip and chose Inser/Remove Envelope and select Velocity move green line to 30% and trim event end .
Now render clip , good luck :)