A system for remotely monitoring a person's physical activity includes at least one accelerometer capable of measuring both the magnitude and direction of an acceleration. The acceleration data is processed to determine motion/position status and to decide whether there is a likelihood that the person has fallen, and if so, the likely direction that the person has fallen. Based on this data, the likely severity of the fall is calculated. If the severity of the fall is outside an acceptable limit, an alert state is reached upon which a signal is communicated to a remote monitoring unit. Likewise, various physiological conditions may be measured to determine the existence of any anomalous vital signs that would trigger an alarm state. If so, the remote monitoring unit will sound or otherwise communicate an alarm to a person associated with the remote monitoring unit.