But a growing number of legal cases claim Toyota knew for a long time about the sudden acceleration issue with other vehicles.

VOA: special.2010.02.05

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

耶鲁公开课 - 基础物理课程节选

If every time I get the same acceleration, I'm convinced this is a reliable spring that is somehow producing the same force under the same condition.

如果每次都能得到相同的加速度,这个弹簧的可靠性就能令人信服,即它在相同的条件下能够产生相等的力

耶鲁公开课 - 基础物理课程节选

The acceleration gives you an extra stuff, quadratic in time.

加速度对位移有额外贡献,是时间的二次项

耶鲁公开课 - 基础物理课程节选

It knows that this particle happened to have a height of 15, at the time of 0, and a velocity of 10, and it is falling under gravity with an acceleration of -10.

这个质点恰好处在高度为15的地方,零时刻,初速为10,并在重力作用下以-10的加速度下坠

耶鲁公开课 - 基础物理课程节选

The most important result from last time was that if you took this r, and you took two derivatives of this to find the acceleration, d^2 r over dt^2, try to do this in your head.

上节课最重要的结论,就是如果你把 r 写成这样,对 r 求两次导就能得到加速度,d^2 r / dt^2,心算一下

耶鲁公开课 - 基础物理课程节选