Each of four particles move along the x-axis. Their positions (in meters) as functions of time (inseconds) are given as follows:Particle 1: (t) = 3.5 - 2.7³Particle 2: (t) = 3.5+ 2.7+³Particle 3: x (t) = 3.5 - 2.7²Particle 4: x (t) = 3.5-3.4t - 2.7t²Which of these particles have constant acceleration?O Only 1 and 2Only 3 and 4None of themOnly 2 and 3O All of them

Answered: Each of four particles move along the…

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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Question

Each of four particles move along the x-axis. Their positions (in meters) as functions of time (in
seconds) are given as follows:
Particle 1: (t) = 3.5 - 2.7³
Particle 2: (t) = 3.5+ 2.7+³
Particle 3: x (t) = 3.5 - 2.7²
Particle 4: x (t) = 3.5-3.4t - 2.7t²
Which of these particles have constant acceleration?
O Only 1 and 2
Only 3 and 4
None of them
Only 2 and 3
O All of them

Expert Solution

Step 1

Introduction

In this problem we will calculate the velocity and acceleration of the particle and we will determine which particle is having constant acceleration. The velocity is the time function of the position and the acceleration is the time function of velocity.

Given data:

$\begin{array}{rcl} Particle 1 : x (t) & = & 3.5 - 2.7 t^{3} \\ Particle 2 : x (t) & = & 3.5 + 2.7 t^{3} \\ Particle 3 : x (t) & = & 3.5 - 2.7 t^{2} \\ Particle 4 : x (t) & = & 3.5 - 3.4 t - 2.7 t^{2} \end{array}$

Find out:

The particles that have constant acceleration.

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