I need help answering these questions **Problem 3: Particle Motion Analysis**A particle's position along the x-axis as a function of time is given by \( x(t) = 7.0 - 12t + 2.5t^2 \), where \( x \) is in meters and \( t \) is in seconds.**Part (a):** Determine the particle's initial position, initial velocity, and acceleration. You can compare it to a kinematics equation or simply use calculus.**Part (b):** Note that the initial velocity is negative. At what time will the particle start moving in the positive direction—i.e., when will its velocity be zero, just about to become positive?**Part (c):** Where will the particle be at that time?

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3. A particle's position along the x-axis as a function of time is given by x(t) = 7.0- 12t + 2.5t² where x is in meters and t is in seconds. a) Determine this particle's initial position, its initial velocity, and its acceleration. You can compare it to a kinematics equation or simply use calculus. b) Note that the initial velocity is negative. At what time will the particle start moving in the positive direction - that is, when will its velocity be zero, just about to become positive? c) Where will the particle be at that time?

3. A particle's position along the x-axis as a function of time is given by x(t) = 7.0- 12t + 2.5t² where x is in meters and t is in seconds. a) Determine this particle's initial position, its initial velocity, and its acceleration. You can compare it to a kinematics equation or simply use calculus. b) Note that the initial velocity is negative. At what time will the particle start moving in the positive direction - that is, when will its velocity be zero, just about to become positive? c) Where will the particle be at that time?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 26P: PROBLEM A race car starting from rest accelerates at a constant rate of 5.00 m/s2, (a) What is the...

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Units and Dimensions

These are generally defined as the terms which precede or describes the dimensions further. These are also further divided into two parts namely fundamental units and the derived units.

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**Problem 3: Particle Motion Analysis**

A particle's position along the x-axis as a function of time is given by \( x(t) = 7.0 - 12t + 2.5t^2 \), where \( x \) is in meters and \( t \) is in seconds.

**Part (a):**
Determine the particle's initial position, initial velocity, and acceleration. You can compare it to a kinematics equation or simply use calculus.

**Part (b):**
Note that the initial velocity is negative. At what time will the particle start moving in the positive direction—i.e., when will its velocity be zero, just about to become positive?

**Part (c):**
Where will the particle be at that time?

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