Position, Velocity, Acceleration, Jerk, Snap
The sensation of hitting your pinkie toe on the corner of a sofa may seem unrelated to the concept of derivatives, but in reality, it has everything to do with it. The reason is that our sensors are not as sensitive to familiar stimuli as they are to new ones. This phenomenon is known as sensory adaptation, which is a reduction in sensitivity to a stimulus after constant exposure to it. Sensory adaptation helps free up our attention and resources to attend to other stimuli in our environment. A similar concept applies to the way we experience life. Our bodies are only interested in the "delta," or the rate of change that happens to us. For example, the first time you go on a plane, it is an amazing experience, but the last time, it is not as memorable. This is not the pilot's fault, but rather a result of our numbed senses, as we are not excited by anything less than 2Gs. However, a next flight on a fighter jet pulling 5Gs will be amazing again, as the delta of 3Gs makes ...