Conversely, if I knew the velocity of this object, I also know what time it is, provided I knew the initial velocity.

反过来,如果我知道了这个物体的速度,我也同样可以知道时间,只要初速度是已知的

耶鲁公开课 - 基础物理课程节选

Then, you've got to say, "What do I have to know about this object at the initial time?

然后,也许你会问,我需要知道物体初始状态的哪些信息呢

耶鲁公开课 - 基础物理课程节选

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

What is it you have to know about this object that was thrown, I claim, is the initial location of the object and the initial velocity.

关于这个物体,我们需要了解什么,我要强调的,就是这个物体的初位置和初速度

耶鲁公开课 - 基础物理课程节选

They tell you the initial location and initial velocity of the object.

它们表示的是物体的初始位移,和初始速度

耶鲁公开课 - 基础物理课程节选

So，the point is,every object falling under gravity is given by the same formula, but there are many, many objects that can have many histories, all falling under gravity, and what's different from one object and the other object is, when was it dropped, from what height, and with what initial speed.

关键是,每一个受重力作用下落的物体,都有同样的表达式,但是各个受重力作用下落的物体,都有不同的初始条件,所以它们的区别在于,下落时刻,下落高度和初始速度

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

耶鲁公开课 - 基础物理课程节选

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

I think you can tell by analogy with what I did in one dimension that the position of that object at any time t is going to be the initial position plus velocity times t plus one half a t square.

你们可以类比一下我在一维情况下的结论,这个物体在任意时刻 t 的位移,等于初始位移,加上 v ? t + 1/2 ? a ? t^2

耶鲁公开课 - 基础物理课程节选