I released a piece of candy, threw it from my hand, and the initial conditions have to do with where did I release it and with what velocity.

我从我的手中抛出一颗糖,初始条件就是,我从什么位置抛出的,以多大速度抛出的

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They can change the initial conditions.

或改变初始条件。

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The way the physics works is you will find some laws of motion in mathematical form, you put in the initial conditions of whatever, you solve the equations, and the answer that comes, you have no choice.

在物理问题中,你可以用数学方法得到运动定律,你代入初始条件,然后解方程,获得答案,你别无选择

耶鲁公开课 - 基础物理课程节选

So，the point is,every object falling under gravity is given by the same formula, but there are many, many objects that can have many histories, all falling under gravity, and what's different from one object and the other object is, when was it dropped, from what height, and with what initial speed.

关键是,每一个受重力作用下落的物体,都有同样的表达式,但是各个受重力作用下落的物体,都有不同的初始条件,所以它们的区别在于,下落时刻,下落高度和初始速度

耶鲁公开课 - 基础物理课程节选