Language and Music

Learning & memory

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3 - Distance vs. Time


In order to determine which aspect of the post-impact motions are most important, we generated three pairs of animations  systematically varying the distance traveled, velocity, and movement time.  For the first pair, distance traveled was held constant while velocity and time differed.  For the second pair, velocity was held constant while distance and time differed.  For the third pair, time of motion was held constant while distance and velocity  varied.  Below, you can see an example of this last pairing.  The animations differ with respect to distance covered and velocity of the movement, but are equated with respect to the time of their post-impact duration.


Shorter distance, lesser velocity (constant time)

Longer distance, greater velocity (constant time)


By comparing the effects in each of these pairs, we were then able to determine which aspect of the post-impact motion (velocity, distance, duration) was most significant.  From this data, it is clear that time of motion (rather than velocity or distance covered) is the factor driving this illusion.