Instantaneous Velocity from Position Graphs

Instantaneous velocity describes how fast an object is moving at a specific moment along its path. It is the limit of average velocity as the elapsed time approaches zero. It can also be written as the derivative of displacement with respect to time. Like average velocity, instantaneous velocity is a vector, so it has both s...

瞬时速度可以从位置-时间图像中计算得出。假设一个物体从点 p₁ 移动到点 p₂，则其平均速度由位置-时间图像的斜率给出。

因此，当点 p₂ 趋近于点 p_1,，并在越来越短的时间间隔 Δt 内计算平均 x 方向速度时，当 Δt 趋近于零的极限情况下，曲线上点 p₁ 处切线的斜率即表示瞬时速度。

如果位置-时间曲线的切线向右上方或右下方倾斜，则其斜率、x方...