So the meaning of the constant is where was the object at the initial time.

常数的含义是,物体的初位移

耶鲁公开课 - 基础物理课程节选

For example, if you started here and you did all this and you came back here, the average velocity would be zero, because you start and end at the same value of x, you get something; 0 divided by time will still be 0.

例如,如果你从这里开始运动,经过这个过程又回到这里,平均速度就是0,因为初态和末态的位移相同,你得到了什么呢,0除以时间还是0

耶鲁公开课 - 基础物理课程节选

So I realize that the constant, c, is the initial location of the object, and it's very common to denote that by x0.

所以我发现常数c,就是物体的初位移,我们习惯用x0表示

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Then, in every situation where the body has an acceleration a, the location has to have this form, where this number is where it was initially, this was the initial velocity of the object.

在任何研究对象具有加速度a的情况下,它的位移就一定具有这种形式,这个系数代表了它的初位移,这个代表了它的初速度

耶鲁公开课 - 基础物理课程节选