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3.2 Instantaneous Velocity and Speed - University Physics Volume 1 | OpenStax

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We have now seen how to calculate the average velocity between two positions. However, since objects in the real world move continuously through space and time, we would like to find the velocity of an object at any single point. We can find the velocity of the object anywhere along its path by using some fundamental principles of calculus. This section gives us better insight into the physics of motion and will be useful in later chapters. The quantity that tells us how fast an object is moving anywhere along its path is the instantaneous velocity, usually called simply velocity. It is the average velocity between two points on the path in the limit that the time (and therefore the displacement) between the two events approaches zero. To illustrate this idea mathematically, we need to express position x as a continuous function of t denoted by x(t). The expression for the average velocity between two points using this notation is 𝑣 – = 𝑥( 𝑡 2 )−𝑥( 𝑡 1 ) 𝑡 2 − 𝑡 1 𝑣 – = 𝑥 ( �

3.2 Instantaneous Velocity and Speed - University Physics Volume 1 | OpenStax Skip to Content Go to accessibility page Keyboard shortcuts menu University Physics Volume 1 3.2 Instantaneous Velocity and Speed University Physics Volume 1 3.2 Instantaneous Velocity and Speed Contents Highlights Print Close 3.2 Instantaneous Velocity and Speed By the end of this section, you will be able to: Explain the difference between average velocity and instantaneous velocity. Describe the difference between velocity and speed. Calculate the instantaneous velocity given the mathematical equation for the posi

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