Researchers have measured the acceleration of racing greyhounds as a function of their speed; a simplified version of their results is shown in (Figure 1). The acceleration at low speeds is constant and is limited by the fact that any greater acceleration would result in the dog pitching forward because of the force acting on its hind legs during its power stroke. At higher speeds, the dog's acceleration is limited by the maximum power its muscles can provide.a)If the dog's mass is 32 kg, what is the average force acting on it during its initial acceleration phase?b)How far does the dog run until its speed reaches 2.0 m/s? The image shows a graph depicting the relationship between acceleration \( a \) (in meters per second squared, m/s\(^2\)) and velocity \( v \) (in meters per second, m/s).**Graph Details:**- **Horizontal Axis (x-axis):** Represents velocity \( v \), ranging from 0 to 14 m/s, with markers at every 2 units.- **Vertical Axis (y-axis):** Represents acceleration \( a \), ranging from 0 to 10 m/s\(^2\), with markers at every 2 units.- **Curve Description:** The curve starts at an acceleration of 10 m/s\(^2\) when the velocity is 0 m/s. As velocity increases, the acceleration decreases, creating a downward-sloping curve. By the time velocity reaches 14 m/s, acceleration has decreased to approximately 2 m/s\(^2\). This graph illustrates how acceleration decreases as velocity increases, showcasing a typical scenario where greater speeds result in reduced acceleration rates.

Answered: Researchers have measured the…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Researchers have measured the acceleration of racing greyhounds as a function of their speed; a simplified version of their results is shown in (Figure 1). The acceleration at low speeds is constant and is limited by the fact that any greater acceleration would result in the dog pitching forward because of the force acting on its hind legs during its power stroke. At higher speeds, the dog's acceleration is limited by the maximum power its muscles can provide.

a)If the dog's mass is 32 kg, what is the average force acting on it during its initial acceleration phase?

b)How far does the dog run until its speed reaches 2.0 m/s?

The image shows a graph depicting the relationship between acceleration \( a \) (in meters per second squared, m/s\(^2\)) and velocity \( v \) (in meters per second, m/s).

**Graph Details:**

- **Horizontal Axis (x-axis):** Represents velocity \( v \), ranging from 0 to 14 m/s, with markers at every 2 units.
- **Vertical Axis (y-axis):** Represents acceleration \( a \), ranging from 0 to 10 m/s\(^2\), with markers at every 2 units.
- **Curve Description:** The curve starts at an acceleration of 10 m/s\(^2\) when the velocity is 0 m/s. As velocity increases, the acceleration decreases, creating a downward-sloping curve. By the time velocity reaches 14 m/s, acceleration has decreased to approximately 2 m/s\(^2\).

This graph illustrates how acceleration decreases as velocity increases, showcasing a typical scenario where greater speeds result in reduced acceleration rates.

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