When you're falling to the surface of the Earth, you are describing a problem of constant acceleration.

当你讨论下落问题时,你在描述一个加速度恒定的问题

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We are talking about particles of constant acceleration.

我们目前都是在讨论匀加速运动的质点

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So, this is the most general position for a particle of constant acceleration, a.

这是一个加速度为a的匀加速质点,位移的最一般的表达式

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We said, "Let's take, for the simplest case that we can possibly imagine, namely a particle moving in one dimension along the x-axis with a constant acceleration a.

我们说过,"考虑我们可以想象的最简单的情况,即质点在一维空间运动,沿着 x 轴且保持恒定加速度 a

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So, the question we are going to ask is the following, "If I tell you that a particle has a constant acceleration a, can you tell me what the position x is?"

接下来要问的问题就是,如果我说某质点加速度恒为a,你能告诉我它的位移x是多少吗

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A limited class of problems is one in which the acceleration is just a constant.

在这类有限的问题里,加速度均为常数

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I want to consider a particle which has definite acceleration a, a constant one, but a is now a vector.

我想考虑一个加速度为 a 的质点,加速度恒定,但 a 是一个矢量

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Whenever you see a particle moving in a circle, even if it's at a constant speed, it has an acceleration, v square over r directed towards the center.

只要看到质点做圆周运动,即使是匀速圆周运动,也存在一个加速度,大小为 v^2 / r,方向指向圆心

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