QUESTION 1Problem #1: The velocity of a particle moving along the x-axis is given by v(t) = 3t2-12ta) If the particle is at position x=0m at time t=0s, what is the position at any time x(t)?b) What is the displacement of the particle from t=1s to t=4s?c) What is the acceleration of the particle at t=2s?d) What is the average acceleration of the particle from t=1s to t=4s?

Velocity is given by v(t) = 3t2-12t Velocity and Displacement ,x is related by v(t) =dxdt so ,dx =…

Answered: Problem #1: The velocity of a particle…

Problem #1: The velocity of a particle a) If the particle is at position x=0r b) What is the displacement of the c) What is the acceleration of the d) What is 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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Question

Expert Solution

Step 1

Velocity is given by v(t) = 3t²-12t

Velocity and Displacement ,x is related by v(t) = $\frac{d x}{d t}$

so ,dx = v(t)dt

a) If particle position is x=0 at t = 0 , then

x(t) = $\int_{0}^{t} (3 t^{2} - 12 t) d t$ = t³ -6t²

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