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

What that means is, if you know the velocity of the given time and you know the initial velocity, you know what time it is.

这个方程的意义是,如果你知道某个给定时刻的速度,并且知道初速度,你就能知道运动的时间

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

You will find that objects that are at constant initial velocity maintain the velocity.

你也会发现原本匀速的物体,依然保持原来的速度

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

Initial velocity is a pair of numbers.

初速度也是一对数字

耶鲁公开课 - 基础物理课程节选

Even at=0, and it has an initial velocity, so even without any acceleration, it will be moving from y0 to y0+vt.

即使at=0,它仍然有初速度,因此即使加速度为0,它也会从y0运动到y0+vt

耶鲁公开课 - 基础物理课程节选

I tell you the initial velocity v0, I tell you at what angle I fire it.

我会告诉你们初速度 v0,以及我以多大角度射出

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Second formula tries to relate the final velocity of some time, t, to the initial velocity and the distance traveled with no reference to time.

第二个式子能把某段时间t的末速度,和初速度,经过的路程联系在一起,并且不引入时间

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

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So, we know in this example the initial height should be 15 meters and the initial velocity should be 10, and for acceleration, I'm going to use -g and to keep life simple, I'm going to call it -10.

我们知道在这个例子中,初始高度为15米,初始速度为10,然后是加速度,我们用"-g"表示重力加速度,为了计算方便,加速度的值取为-10

耶鲁公开课 - 基础物理课程节选

It's very interesting because velocity seems to require two different times to define it -- the initial time and the final time.

这非常有趣,因为速度似乎需要两个时间才能算出来,初时刻和末时刻

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I released a piece of candy, threw it from my hand, and the initial conditions have to do with where did I release it and with what velocity.

我从我的手中抛出一颗糖,初始条件就是,我从什么位置抛出的,以多大速度抛出的

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What is y-y0? The final y is 0, the initial y is 15. You solve for that equation and you will find the final velocity.

-y0是什么,末态的y是0,初态的y是15 你们已经得到,然后你可以找到最终速度

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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