Description of Motion in One Dimension

A bar above any quantity indicates that it is the average value of that quantity. If the acceleration is constant, then equations 1,2 and 3 represent a complete description of the motion. Equation 4 is obtained by a combination of the others. Click on any of the equations for an example. 任何量上方的横线表示该量的平均值。如果加速度是恒定的，那么方程1、2和3完全描述了运动。方程4是通过其他方程的组合得到的。点击任一方程查看示例。 Graphing one-dimensional motion 一维运动的图表

Distance, Average Velocity and Time

距离、平均速度和时间

Distance, Average Velocity and Time

Forms of Motion Equations

Forms of Motion Equations

Motion Example

Initial velocity =m/s, Final velocity =m/s Distance traveled x = m

In this example, the items labeled on the diagram are considered primary: if one of them is changed, the others remain the same. The data in the boxes may be changed, and the calculation will be done when you click outside the box, subject to the constraints described. Changing average velocity, acceleration or time will force a change in at least one of the original quantities. In this version, the final velocity is allowed to change. 在这个例子中，图中标出的项目被视为基本量：如果其中一个发生变化，其他保持不变。框中的数据可以被修改，当您点击框外时会进行计算，受所述约束条件限制。改变平均速度、加速度或时间将迫使至少一个原始量发生变化。在这个版本中，最终速度允许发生变化。

Distance x = m Initial velocity v0 = m/s Final velocity v = m/s Average velocity = m/s Acceleration a = m/s^2 Time t = s 距离 x = m 初速度 v0 = m/s 末速度 v = m/s 平均速度 = m/s 加速度 a = m/s² 时间 t = s 中文译文中的待填/计算数值依次对应：1：xp 2：v0p 3：vfp 4：va 5：a 6：t。实际数值以上方原输入框为准。 初始速度 = m/s，最终速度 = m/s，行驶距离 x = m 中文译文中的待填/计算数值依次对应：1：v0 2：vf 3：x 4：va 5：a。实际数值以上方原输入框为准。

Motion Example

Initial velocity =m/s, Final velocity =m/s Distance traveled x = m

In this example, the items labeled on the diagram are considered primary: if one of them is changed, the others remain the same. The data in the boxes may be changed, and the calculation will be done when you click outside the box, subject to the constraints described. If the average velocity is directly changed, the final velocity is adjusted for consistency. If the acceleration or time is changed, then the distance is allowed to change. 在这个例子中，图中标注的项目被视为基本参数：如果其中一个被改变，其他保持不变。框中的数据可以被修改，当点击框外时会进行计算，受描述的约束条件限制。如果直接改变平均速度，最终速度会进行调整以保持一致性。如果加速度或时间被改变，距离则允许发生变化。

Distance x = m Initial velocity v0 = m/s Final velocity v = m/s Average velocity = m/s Acceleration a = m/s^2 Time t = s 距离 x = m 初速度 v0 = m/s 末速度 v = m/s 平均速度 = m/s 加速度 a = m/s² 时间 t = s 中文译文中的待填/计算数值依次对应：1：xp 2：v0p 3：vfp 4：va 5：a 6：t。实际数值以上方原输入框为准。 初始速度 = m/s，最终速度 = m/s，行驶距离 x = m 中文译文中的待填/计算数值依次对应：1：v0 2：vf 3：x。实际数值以上方原输入框为准。

Linear Motion Explorer

These motion equations apply only in the case of constant acceleration. It is assumed that x=0 at t=0 and that the motion is being examined at time t. After you have edited any box of motion data, click on the text or symbol for the quantity you wish to calculate. If it does not behave the way you expect, see the comments on the calculation.

                     m     =         m/s         x s
        m/s = m/s +         m/s² x s
m = m/s x s + 1/2 m/s² * t²

Comments on Motion Explorer

In the example motion calculation, some assumptions are made about the calculation order. It is intended to be an exploration exercise, and may not conveniently solve all problems. The motion equations represent a complete set of equations for constant acceleration motion, but in certain types of problems, intermediate results must be calculated before proceeding to the final calculation. In the example calculation, you may have to do intermediate calculations, e.g., to establish the final velocity, in order to set up the problem you wish to solve, just as if you were working the problem with calculator and paper.

In the example calculation, the time, initial velocity, and displacement were considered given (primary) unless they were being calculated . For example,if x is being calculated, then v is assumed given, so it must be calculated first if you want to specify a. After making substitutions, not all values are updated, so to be sure a specific parameter has been updated, click on the text or symbol associated with that parameter.