Constant Acceleration | 匀加速度运动

📚 Constant Acceleration | 匀加速度运动

In Edexcel A-Level Mechanics, constant acceleration problems are the foundation of kinematics. These problems assume that acceleration does not change, so the standard SUVAT equations can be applied to connect displacement, initial velocity, final velocity, acceleration and time.

在 Edexcel A-Level 力学中，匀加速度问题是运动学的基础。这类问题假设加速度保持不变，因此可以使用标准 SUVAT 公式来建立位移、初速度、末速度、加速度和时间之间的关系。

1. What is Constant Acceleration? | 什么是匀加速度？

Acceleration is defined as the rate of change of velocity, so constant acceleration means the velocity changes by the same amount in every equal interval of time.

加速度定义为速度的变化率，因此匀加速度意味着在每一段相等的时间间隔内，速度的变化量相同。

In one-dimensional motion, acceleration is a vector quantity with both magnitude and direction. In Edexcel mechanics, the symbol a is measured in metres per second squared, written m/s².

在一维运动中，加速度是既有大小又有方向的矢量。在 Edexcel 力学中，符号 a 的单位是米每二次方秒，写作 m/s²。

For constant acceleration, a velocity-time graph is a straight line. The gradient of this line equals the acceleration, and the area under the line equals the displacement.

对于匀加速度，速度-时间图是一条直线。这条直线的斜率等于加速度，直线下方的面积等于位移。

The five key variables used in SUVAT equations are u (initial velocity), v (final velocity), a (constant acceleration), s (displacement) and t (time).

SUVAT 公式中使用的五个关键变量是 u（初速度）、v（末速度）、a（匀加速度）、s（位移）和 t（时间）。

2. The SUVAT Equations | SUVAT 公式

When acceleration is constant, the following equations link the five variables. They are often called the SUVAT equations in the UK specification.Published by TutorHao | A-Level Mathematics Revision Series | aleveler.com

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