instantaneous velocity

简明释义

瞬时速度

英英释义

例句

1.During the race, the runner's instantaneous velocity fluctuated due to changes in terrain.

在比赛中，跑步者的瞬时速度因地形变化而波动。

2.The car's instantaneous velocity is measured at the moment it crosses the speed trap.

汽车的瞬时速度在它穿过测速陷阱的那一刻被测量。

3.At the top of the hill, the cyclist's instantaneous velocity was zero before they started descending.

在山顶，骑自行车者的瞬时速度为零，随后他们开始下坡。

4.Using a speedometer, you can determine your car's instantaneous velocity at any given time.

使用速度计，你可以在任何给定时刻确定汽车的瞬时速度。

5.To find the instantaneous velocity, you need to take the derivative of the position function.

要找到瞬时速度，你需要对位置函数进行求导。

作文

In the study of physics, understanding motion is crucial, and one of the key concepts in this area is instantaneous velocity. This term refers to the velocity of an object at a specific moment in time, rather than over a period of time. To illustrate this concept, imagine a car traveling along a road. If we were to measure its speed at various points along its journey, we would be determining its instantaneous velocity at those specific moments. This is different from average velocity, which considers the total distance traveled divided by the total time taken. The formula for calculating instantaneous velocity involves taking the derivative of the position function with respect to time. If we denote the position of an object as a function of time, s(t), then the instantaneous velocity can be expressed mathematically as v(t) = ds/dt. This means that by analyzing the slope of the position-time graph at any given point, we can determine the instantaneous velocity. Understanding instantaneous velocity is essential in various fields, including engineering, automotive design, and even sports science. For example, in racing, knowing the instantaneous velocity of a car at different points on the track can help engineers optimize performance and safety features. Similarly, athletes can benefit from understanding their instantaneous velocity during training sessions to improve their techniques and overall performance. Moreover, instantaneous velocity plays a significant role in the analysis of motion in physics. When studying the motion of objects under the influence of forces, such as gravity or friction, knowing the instantaneous velocity helps predict future positions and behaviors. For instance, when a ball is thrown into the air, its instantaneous velocity will change due to gravitational pull, allowing physicists to calculate the peak height and the time it takes to reach that height. In conclusion, the concept of instantaneous velocity is fundamental in understanding motion in physics. By recognizing that it represents the velocity of an object at a particular instant rather than over an interval, we can apply this knowledge in practical scenarios, from designing faster cars to improving athletic performance. The ability to calculate and analyze instantaneous velocity not only deepens our understanding of motion but also enhances our capacity to innovate and excel in various fields. Thus, mastering this concept is essential for anyone looking to delve deeper into the world of physics and motion.

在物理学的研究中，理解运动至关重要，其中一个关键概念是瞬时速度。这个术语指的是物体在特定时刻的速度，而不是在一段时间内的速度。为了说明这个概念，想象一辆汽车沿着道路行驶。如果我们在它旅程的不同点测量它的速度，我们就是在确定这些特定时刻的瞬时速度。这与平均速度不同，后者考虑的是总距离与总时间的比值。计算瞬时速度的公式涉及对位置函数关于时间的导数。如果我们将物体的位置表示为时间的函数s(t)，则瞬时速度可以用数学表达为v(t) = ds/dt。这意味着通过分析位置-时间图在任何给定点的斜率，我们可以确定瞬时速度。理解瞬时速度在多个领域中至关重要，包括工程、汽车设计甚至运动科学。例如，在赛车中，知道汽车在赛道不同点的瞬时速度可以帮助工程师优化性能和安全特性。同样，运动员可以通过了解他们在训练中的瞬时速度来改善他们的技术和整体表现。此外，瞬时速度在物理学中运动分析中发挥着重要作用。在研究物体在重力或摩擦等力的影响下的运动时，知道瞬时速度有助于预测未来的位置和行为。例如，当一个球被扔到空中时，由于重力的影响，它的瞬时速度会改变，从而使物理学家能够计算出最高高度及达到该高度所需的时间。总之，瞬时速度的概念是理解物理学中运动的基础。通过认识到它代表的是物体在特定瞬间的速度而不是在一个区间内的速度，我们可以在实际场景中应用这一知识，从设计更快的汽车到提高运动表现。计算和分析瞬时速度的能力不仅加深了我们对运动的理解，还增强了我们在各个领域创新和卓越的能力。因此，掌握这一概念对于任何希望深入探索物理学和运动世界的人来说都是至关重要的。