今天在BT群由pMq发了一张图,并问是什么意思:

这个问题的答案是……不那么……显而易见的。
任何具有基础物理知识的人,都会知道:
- 一般而言,
t代表时间。 - 一般而言,特别是牵涉到对时间求导时,
x代表了位移(displacement)。 - 位移对时间的一次求导,代表了速度
v(velocity)。 - 位移对时间的二次求导,也就是速度对时间的一次求导,代表了加速度
a(acceleration)。
一般而言,到此为止了。我们很少会关心位移对时间更高次的求导。
=== 以下是科普时间 ===
这里的三次求导结果,和速度、加速度一样,在物理上是有一个明确的定义的,其专用术语是jerk。但……尴尬之处在于,jerk本身有不少很糟糕也更popular的定义。
按照维基百科的词条,jerk作为名词,有7个释义,列举如下:
- A sudden, often uncontrolled movement, especially of the body.
- A quick, often unpleasant tug or shake.
- (Canada, US, slang, derogatory) A person with unlikable or obnoxious qualities and behavior, typically mean, self-centered or disagreeable.
- I finally fired him, because he was being a real jerk to his customers, even to some of the staff.
- You really are a jerk sometimes.
- (US, slang, derogatory) A dull or stupid person.
- (physics, engineering) The rate of change in acceleration with respect to time.
- (obsolete) A soda jerk.
- (weightlifting) A lift in which the weight is taken with a quick motion from shoulder height to a position above the head with arms fully extended and held there for a brief time.
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