Velocity速度
The average speed of an object is defined as the distance traveled divided by the time elapsed. Velocity is a vector quantity, and average velocity can be defined as the displacement divided by the time. For the special case of straight line motion in the x direction, the average velocity takes the form: 物体的平均速率定义为物体行进的路程除以所用的时间。速度是一个矢量量,平均速度可以定义为位移除以时间。对于沿x方向直线运动的特殊情况,平均速度的形式为:
![]() The units for velocity can be implied from the definition to be meters/second or in general any distance unit over any time unit. 速度的单位可以从定义中推断出来,应为米/秒,或一般地说任何距离单位除以任何时间单位。
You can approach an expression for the instantaneous velocity at any point on the path by taking the limit as the time interval gets smaller and smaller. Such a limiting process is called a derivative and the instantaneous velocity can be defined as 你可以通过让时间间隔越来越小,来得到路径上任意一点的瞬时速度的表达式。这种极限过程称为导数,瞬时速度可以定义为
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Index Motion concepts 索引运动概念 | ||
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Average Velocity, Straight Line平均速度,直线运动
The average speed of an object is defined as the distance traveled divided by the time elapsed. Velocity is a vector quantity, and average velocity can be defined as the displacement divided by the time. For the special case of straight line motion in the x direction, the average velocity takes the form: ![]() ![]() Example for non-constant acceleration非恒定加速度的例子 物体的平均速率定义为物体经过的路程除以时间间隔。速度是一个矢量量,平均速度可以定义为位移除以时间。对于沿x方向直线运动的特殊情况,平均速度的形式为:如果已知这段运动的初速度和末速度,并且加速度恒定,则平均速度也可以表示为。对于这种特殊情况,这些表达式给出相同的结果。 |
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Average Velocity, General平均速度,一般情况
The average speed of an object is defined as the distance traveled divided by the time elapsed. Velocity is a vector quantity, and average velocity can be defined as the displacement divided by the time. For general cases involving non-constant acceleration, this definition must be applied directly because the straight line average velocity expressions do not work.
![]() 物体的平均速率定义为物体经过的路程除以所用的时间。速度是一个矢量量,平均速度可以定义为位移除以时间。对于一般非恒定加速度的情况,必须直接应用这个定义,因为直线平均速度的表达式不适用。如果初始点和终点的位置已知,就可以利用距离关系来求出位移。 |
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