instantaneous velocity

简明释义

瞬时速度

英英释义

例句

1.To find the instantaneous velocity 瞬时速度 of a runner at a specific moment, we can look at the time interval approaching zero.

为了找到跑步者在特定时刻的瞬时速度，我们可以观察接近零的时间间隔。

2.The physics teacher explained that the instantaneous velocity 瞬时速度 of a falling object changes as it descends.

物理老师解释说，下降物体的瞬时速度随着其下降而变化。

3.In calculus, we calculate instantaneous velocity 瞬时速度 by taking the derivative of the position function.

在微积分中，我们通过对位置函数求导来计算瞬时速度。

4.When a car accelerates, its instantaneous velocity 瞬时速度 can be measured using a speedometer.

当一辆车加速时，它的瞬时速度可以通过速度计测量。

5.A roller coaster's instantaneous velocity 瞬时速度 at the top of a hill is different from its speed at the bottom.

过山车在山顶的瞬时速度与在山底的速度是不同的。

作文

In the study of physics, particularly in kinematics, the concept of instantaneous velocity plays a crucial role in understanding motion. Instantaneous velocity refers to the velocity of an object at a specific moment in time, as opposed to average velocity, which is calculated over a longer period. To illustrate this, consider a car traveling along a straight road. If we were to measure the speed of the car at various points along its journey, we would find that the speed may change due to acceleration or deceleration. The speed at any particular point is what we refer to as instantaneous velocity. Understanding instantaneous velocity is essential for several reasons. Firstly, it provides insight into how an object is moving at any given moment. For example, if a runner is sprinting, their instantaneous velocity can be measured at different intervals—perhaps they start off slow, reach a peak speed, and then slow down as they near the finish line. This information can be vital for athletes looking to improve their performance, as it allows them to analyze their speed and make adjustments accordingly.Secondly, instantaneous velocity is a fundamental concept in calculus, particularly in the study of derivatives. In mathematical terms, instantaneous velocity is defined as the derivative of the position function with respect to time. This means that if we have a function that describes the position of an object over time, we can find its instantaneous velocity by taking the slope of the tangent line at any point on the curve of that function. This relationship between position and instantaneous velocity allows us to predict future positions and understand the dynamics of motion more deeply.Moreover, instantaneous velocity is not just limited to linear motion. It can also apply in two or three dimensions, where we can analyze the velocity of an object moving in a curved path. For instance, when a roller coaster travels through loops and turns, the instantaneous velocity changes direction and magnitude continuously. Understanding these variations is crucial for engineers who design safe and thrilling rides, as they must account for the forces acting on riders at any given moment.In real-world applications, the concept of instantaneous velocity is vital in fields such as engineering, robotics, and even video game development. For engineers, knowing the instantaneous velocity of moving parts in machinery can help in designing systems that operate smoothly and efficiently. In robotics, precise control of a robot's movements often relies on calculating its instantaneous velocity to ensure accurate positioning and task execution. Similarly, in gaming, developers use physics engines that calculate instantaneous velocity to create realistic movements and interactions within the game environment.In conclusion, the concept of instantaneous velocity is fundamental in understanding motion in both theoretical and practical contexts. Whether it's analyzing a runner's performance, applying calculus to derive motion equations, or designing complex machines and video games, instantaneous velocity provides valuable insights that enhance our understanding of the physical world. As we continue to explore and innovate in various fields, mastering the concept of instantaneous velocity will remain essential for anyone interested in the dynamics of motion.

在物理学的研究中，特别是在运动学中，瞬时速度的概念在理解运动方面起着至关重要的作用。瞬时速度是指物体在特定时刻的速度，而不是在较长时间内计算的平均速度。为了说明这一点，考虑一辆沿直路行驶的汽车。如果我们在其旅程的不同点测量汽车的速度，我们会发现由于加速或减速，速度可能会变化。在任何特定时刻的速度就是我们所称的瞬时速度。理解瞬时速度有几个重要原因。首先，它提供了对物体在任何给定时刻的运动方式的洞察。例如，如果一名跑步者在冲刺，他们的瞬时速度可以在不同的时间间隔内测量——也许他们开始时速度较慢，达到峰值速度，然后在接近终点线时减速。这些信息对希望提高表现的运动员来说至关重要，因为它使他们能够分析自己的速度并相应地进行调整。其次，瞬时速度是微积分中的基本概念，特别是在导数的研究中。从数学角度看，瞬时速度被定义为位置函数关于时间的导数。这意味着如果我们有一个描述物体随时间变化的位置的函数，我们可以通过在该函数曲线的任意点上取切线的斜率来找到它的瞬时速度。这种位置与瞬时速度之间的关系使我们能够预测未来的位置，更深入地理解运动的动态。此外，瞬时速度不仅限于线性运动。它也可以应用于二维或三维空间，在那里我们可以分析沿着曲线路径运动的物体的速度。例如，当过山车穿过环和转弯时，瞬时速度的方向和大小不断变化。理解这些变化对于设计安全而刺激的游乐设施的工程师至关重要，因为他们必须考虑在任何给定时刻作用于乘客的力。在现实世界的应用中，瞬时速度的概念在工程、机器人技术甚至视频游戏开发等领域至关重要。对于工程师来说，了解机械中运动部件的瞬时速度可以帮助设计平稳高效的系统。在机器人技术中，对机器人的运动进行精确控制通常依赖于计算其瞬时速度以确保准确定位和任务执行。同样，在游戏开发中，开发者使用物理引擎来计算瞬时速度，以创建游戏环境中的真实运动和交互。总之，瞬时速度的概念在理解理论和实践背景下的运动中是基础性的。无论是分析跑步者的表现，应用微积分推导运动方程，还是设计复杂的机器和视频游戏，瞬时速度都提供了宝贵的见解，增强了我们对物理世界的理解。随着我们在各个领域继续探索和创新，掌握瞬时速度的概念将对任何对运动动态感兴趣的人来说仍然至关重要。