### Understanding Circular Motion: Speed CalculationIn this problem, we analyze the speed of a particle moving along a circular path. The particle has a speed \( v_A = 5 \, \text{m/s} \) at point \( A \), and the speed increases at a constant rate of \( 1.5 \, \text{m/s}^2 \). We aim to determine its speed at another point \( B \) on the circular path.Consider the given data:1. **Speed at point A (\( v_A \))**: \( 5 \, \text{m/s} \)2. **Radial acceleration (\( \frac{dv_A}{dt} \))**: \( 1.5 \, \text{m/s}^2 \)3. **Radius of the circular path (\( r \))**: \( 2.5 \, \text{m} \)**Diagram Explanation:**- The red circle represents the path of motion.- Point \( A \) is where the initial speed is given.- Point \( B \) is where we want to calculate the speed.- The radius \( r \) is marked as \( 2.5 \, \text{m} \).Given options for the speed at point \( B \) are:- \( v_B = 6.06 \, \text{m/s} \)- \( v_B = 3.64 \, \text{m/s} \)- \( v_B = 8.49 \, \text{m/s} \)- \( v_B = 6.97 \, \text{m/s} \)To solve this, we can use the kinematic equations of motion, considering the constant tangential acceleration and the initial speed.```markdownv_B = \sqrt{v_A^2 + 2 \cdot a \cdot s}```Where \( s = \pi \cdot r \).Using these, we'll determine the correct answer.### Multiple Choice Options:- \( v_B = 6.06 \, \text{m/s} \)- \( v_B = 3.64 \, \text{m/s} \)- \( v_B = 8.49 \, \text{m/s} \)- \( v_B = 6.97 \, \text

Answered: Image /qna-images/answer/6136d5d5-9605-4cb3-8206-81d55d2bae55.jpg

The particle on the circular path has a speed VA = 5 m/s at point A, which is increasing at a constant rate of 1.5 m/s2. What is its speed at point B? B AVA = 5 m/s A 2.5 m OVB OVB 6.06 m/s 3.64 m/s VB 8.49 m/s UB = 6.97 m/s

The particle on the circular path has a speed VA = 5 m/s at point A, which is increasing at a constant rate of 1.5 m/s2. What is its speed at point B? B AVA = 5 m/s A 2.5 m OVB OVB 6.06 m/s 3.64 m/s VB 8.49 m/s UB = 6.97 m/s

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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