(Retrieved from http://physics.info/kinematics-calculus/ ) • Jerk is the rate of change of acceleration with time. j = da dt
• Jerk is the first derivative of acceleration, the second derivative of velocity, and the third derivative of displacement. j = da = d2v = d3r dt dt2 dt3
• The SI unit of jerk is the meter per second cubed.
⎡
⎣ m/s3 = m/s2 ⎤
⎦
s • An alternate unit is the g per second.
⎡
⎣ g =
9.80665 m/s2 = 9.80665 m/s3
⎤
⎦ s s
• Why is Jerk a meaningful quantity?
The human body is equipped with sensors to sense acceleration and jerk. Located deep inside the ear, integrated into our skulls, lies a series of chambers called the labyrinth. Part …show more content…
Each of our four otoliths consists of a hard bone-like plate attached to a mat of sensory fibers. When the head accelerates, the plate shifts to one side, bending the sensory fibers. This sends a signal to the brain saying "we're accelerating." Since gravity also tugs on the plates, the signal may also mean "this way is down." The brain is quite good at figuring out the difference between the two interpretations. So good, that we tend to ignore it. (Sight, sound, smell, taste, touch — where's balance in this list?) We ignore it until something changes in an unusual, unexpected, or extreme …show more content…
Gravity always pulls me down in the same way. Standing, walking, sitting, lying — it's all quite sedate. Now let's hop in a roller coaster (or engage in a similarly thrilling activity like downhill skiing, Formula One racing, or cycling in Manhattan traffic). Acceleration is directed first one way, then another. You may even experience brief periods of weightlessness or inversion. These kinds of sensations generate intense mental activity, which is why we like doing them. They also sharpen us up and keep us focused during possibly life ending moments, which is why we evolved this sense in the first place. Your ability to sense jerk is vital to your health and well being. Jerk can be both frightening and