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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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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
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And so it's thought and the research suggests this to be the case, that during this period of time here when the blood sugar is declining very rapidly and then when it goes down to below its initial level here -- you see that--that people are especially hungry and want to eat more.
这个例子被认为,同时研究也证明了,在这段时间,当血糖迅速降低时,以及当血糖降低到比它的初值还低时,大家能看到人会特别饿和想多吃东西
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Simply knowing the acceleration is not enough to tell you where it was at the initial time.
仅仅知道加速度是,不足以告诉你它在初始时刻的位移的
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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
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You get to pick where it was at the initial time.
你需要选取初始时刻的位移
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By "Present," We mean-- we will pick some part of the universe we want to study and we will ask, "What information do I need to know for that system at the initial time, like, right now, in order to be able to predict the future?"
我们所说的"现在",意思是,我们会选取客观世界某一部分来进行研究,然后我们就会问,我们需要什么信息去了解,初始时刻的系统,比如现在,进而能使我们能够预测未来呢
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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
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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
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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
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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
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