Scaling subjective velocity, distance, and duration

AbstractBy magnitude estimation, the relation between the subjective and physical values of linear velocities, durations, and distances were found to be power functions with exponents of about 0.75, 0.90, and 0.90. When subjective values are substituted for their physical correlates in the equation, velocity = distance/duration, we obtain: $$subjective velocity = k(\tfrac{{subjective distance}}{{subjective duration}})0.8$$ This relation depends on no physical measurements for its confirmation.The influence of stimulus range on velocity judgments was also examined. Although the shorter ranges tended to yield power functions with higher exponents, the constraint due to range did not make itself fully felt in the first few judgments.