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A 100% uncertainty in the position 15% gives rise to a 15% uncertainty in velocity.
从完全不确定的位置,到速度的不确定度为。
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He reasoned then that the charge, since he could vary voltage continuously but got a discontinuous variation in velocity, his conclusion was that the charge must be discontinuously attached to the droplet.
他推断出电荷，因为他可以不断地改变电压,但是得出了速度是在不连续变化着，他的结论是电荷,是间断地依附于液滴上的。
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And in terms of equations that we use, it's sometimes easier to plug in the fact, since momentum is equal to mass times velocity.
在我们使用方程这方面，事实上有时是很容易代入的，因为动量等于质量乘以速度。
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When you're driving in your car, there's a needle and the needle says 60; that's your velocity at this instant.
当你在开车时,有一根指针指着60,表示你这个时刻的速度
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Let's plot droplet velocity as a function of looking at the number that have this velocity 0 with the zero being in the center here.
我们将液滴的速度设定为,观察那些数字作用，在中心的地方,速度为。
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And he couldn't get values of velocity in between certain steps.
他得不出两个点之间,位移的速度。
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So the Earth is an inertial frame of reference, if you go in a train relative to the Earth at constant velocity, you're also inertial.
所以,地球是一个惯性参考系,如果你坐在相对于地球匀速运动的火车里,你也处于惯性状态
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It's in the nature of things to go at a constant velocity.
能保持恒定速度是物体的固有性质
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And since we are not expecting the mass of the particle to change, what we really are saying is the uncertainty in its velocity times the uncertainty in its position is greater than the ratio of the Planck constant divided by 2 pi.
因为我们不期望,粒子质量发生变化，我们说的是,它速度的不确定度,乘以它位置的不确定度,比普朗克常量,除以2除以圆周率要大。
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In particular, the things that I say are at rest, you will say are moving backwards at the velocity that you have relative to me.
特别是那些在我看来是静止的物体,在你看来却在后退,后退的速度等于我们之间的相对速度
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But it's not a big con, because you can set up experiments in free space far from everything, where objects will, in fact, maintain their velocity forever.
但这并不是个反例,因为你可以在一个远离一切的空间里做实验,在那里,物体可以永远保持现有速度
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In that limit, we can measure velocity right now.
取极限的话,我们可以马上测出速度
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When you have a velocity in the moving plane frame and you want to find the velocity on the ground, you should add to every object in the plane the velocity of the plane with respect to the ground.
当你在运动的飞机上运动,然后你想找到相对于地面的速度,你就应该给每个物体加上,飞机相对于地面的速度
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The fact that when you go in a circle, you accelerate is what we're learning here, coming from the fact that velocity is a vector and its change can be due to change in the magnitude or change in direction.
而当你做圆周运动时你也在加速,这是我们在这里所学到的,原因就在于,速度是一个矢量,其变化可以通过改变模长,或者方向来实现
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Once you've got that, one derivative will give you the velocity, then in a crunch you can eliminate t and put it into this formula.
一旦你得到了这个,求一阶导数就能得到速度,然后你可以消去t,把它代入这个式子
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And if we talk about electrons or photoelectrons, again we can describe it in terms of energy, we can talk about velocity, and from there, of course, you can figure out the energy from 1/2 m v squared, and actually we can also describe the electron in terms of wavelength.
如果我们谈论电子或者光电子，我们又可以从能量的角度来描述它，我们可讨论速率，从那里，当然，你可以计算1/2，m，v2得出能量值，而且事实上我们也可以,从波长的角度来描述电子。
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if I say a particle's location is i times t^2 plus j times 9t^3, for every value of time, you can put the numbers in and you can find the velocity by just taking derivatives.
一个质点的位置,i ? t^2 + j ? 9t^3,在每一个时间点,你可以把数值代入,并通过求导得到速度
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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
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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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