constant

To start off, notice that this question would be a lot easier if the car was just moving at a constant velocity, right?

まず最初に、もし車が一定の速度で動いていれば、この問題はずっと簡単になることに気づくでしょう？

Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus

But what makes our situation hard is that velocity is not constant, it's incessantly changing at every single instant.

しかし、この状況を難しくしているのは、速度が一定ではなく、あらゆる瞬間に絶えず変化しているという点です。

Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus

It would even be a lot easier if it only ever changed at a handful of points, maybe staying static for the first second, and then suddenly discontinuously jumping to a constant 7 meters per second for the next second, and so on, with discontinuous jumps to portions of constant velocity.

もし速度がいくつかの地点でしか変化しないのであれば、もっと簡単でしょう。例えば最初の1秒間は一定で、次の1秒間は突然秒速7メートルに跳ね上がり、その後も一定の速度の区間へと不連続に変化していくような場合です。

Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus