'motorically' ultimately comes from the adjective 'motoric', itself formed from the noun 'motor' (from Latin 'motor') with the adjectival suffix '-ic', plus the adverbial suffix '-ally' to make 'motorically'. 'Motor' in Latin derives from 'movere' meaning 'to move'.

'motor' comes from Latin 'motor' (one who moves) derived from the verb 'movere'. The adjective 'motoric' was formed in modern English from 'motor' + '-ic'; adding the adverbial ending produced 'motorically'.

Initially related to the notion of 'movement' (from Latin 'movere' meaning 'to move'); over time the derived adjective/adverb has come to mean specifically 'relating to motor function or muscular movement' in modern usage.