As everyone else is saying, to stop motion blur you need to increase the shutter speed of the camera. This is not special to cel phone camera as every camera has this problem. However, cel phone cameras usually do make the problem harder to fix.
If your camera app has a "sports" mode, give that a try.
Otherwise, you may need to move out of the fully auto mode and into a semi-auto mode or into manual mode.
Suggested shutter speeds:
walking - 1/125
young sports - 1/250 or higher
HS sports - 1/500 or higher
adult sports - 1/1000 or higher
To get these speeds you will need either more light and/or a higher ISO value.
If you are in your house, turn on more lights.
Using the flash on the camera might work for subjects 10-15 feet away.
Yes, higher ISO values may result in more digital noise. Digital noise can be fixed in post processing while motion blur cannot be fixed.
Depending on what you are photographing, not all motion blur is a bad thing. For example, the attached photo five posts above.