One is inertial mass, which is how much you hate your velocity to change, how hard you resist acceleration.

一个是惯性质量,它反映了物体速度改变的难易程度,即保持加速度的难易程度

耶鲁公开课 - 基础物理课程节选

This is the starting speed, that's the rate at which it is gaining velocity, and that's how long it's been gaining it.

这是起始时的速度,这是速度的增长速率,这是加速的时间

耶鲁公开课 - 基础物理课程节选

And, you know acceleration means either change of speed or change of direction.

你知道加速度意味着,不是改变速度就是改变方向。

麻省理工公开课 - 固态化学导论课程节选

It's useful to have the average acceleration, which you can find by taking similar differences of velocities.

平均加速度也是很有用的,你可以用类似方法,取速度的变化量求出来

耶鲁公开课 - 基础物理课程节选

It says that, "If a body has an acceleration, then you need a force and the relation of the force to acceleration is this thing."

它是这么说的,"如果一个物体有加速度,那么你需要有一个力,力和加速度的关系是这样的"

耶鲁公开课 - 基础物理课程节选

The first one is velocity, the second one is acceleration.

一阶导数叫速度,二阶导数叫加速度

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Once you can take one derivative, you can take any number of derivatives and the derivative of the velocity is called the acceleration, and we write it as the second derivative of position.

只要你能求一阶导数,你就能求任意阶的导数,速度的导数被称为"加速度",我们把它写成位移的二阶导数

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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

耶鲁公开课 - 基础物理课程节选

At any point on the graph you can take the derivative, which will be tangent to the curve at each point, and its numerical value will be what you can call the instantaneous velocity of that point and you can take the derivative over the derivative and call it the acceleration.

在图上的任意一点,你可以进行求导,得到曲线上每一点的切线斜率,所得到的数值,即为该点处的瞬时速度,然后你再求一次导,得出它的加速度

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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

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If it's going in a circle, you will say from now on, that it, indeed, has an acceleration, even though no one's stepping on the accelerator, of amount v^2 over R.

如果它在一个圆周上运动,你会说从现在起它其实有加速度,即使没有人去踩油门,加速度大小为 v^2 / R

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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