**Question 24:**The acceleration of a particle undergoing rectilinear, erratic motion is represented by the acceleration-time (\(a-t\)) function shown in the image below. For \(0 < t < 3\) seconds (the curved portion), the equation is \(a = C \cdot t^2 \, \text{m/s}^2\), where \(C\) is a constant, and \(t\) is the time in seconds. If the constant \(C\) is 0.1, and the initial velocity \(v_0 = 0\) at time \(t = 0\), determine the particle's velocity when \(t = 5.4\) seconds. Please pay attention: the numbers may change since they are randomized. Your answer must include three decimal places and proper SI unit.**Graph Explanation:**The graph depicts the acceleration (\(a\) in m/s²) versus time (\(t\) in seconds). It shows:- A rising curve from \(t = 0\) to \(t = 3\) seconds, where acceleration is increasing.- Beyond \(t = 3\) seconds, the graph shows a downward-sloping line till \(t = 6\) seconds, indicating decreasing acceleration.The graph implies that for \(0 < t < 3\) seconds, the acceleration follows a quadratic relation \(a = C \cdot t^2\).**Your Answer:**| Answer | Units ||-------------|-------|| [Numeric Answer] | [m/s] |

Given data For 0 to 3 sec Acceleration = C.t2 Where C= 0.1 Initial velocity= 0 Find the velocity…

Answered: Q24. The acceleration of a particle…

Q24. The acceleration of a particle undergoing rectilinear, erratic motion has acceleration-time (a-t) function shown in the image below. The equation for 0

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

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Step 1

Given data

For 0 to 3 sec

Acceleration = C.t²

^{Where C= 0.1}

Initial velocity= 0

Find the velocity at t= 5.4 sec

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