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
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)...
Related questions
Question
Transcribed Image Text:QUESTION 1
Problem #1: The velocity of a particle moving along the x-axis is given by v(t) = 3t2-12t
a) 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?
Expert Solution
Step 1
Velocity is given by v(t) = 3t2-12t
Velocity and Displacement ,x is related by v(t) =
so ,dx = v(t)dt
a) If particle position is x=0 at t = 0 , then
x(t) = = t3 -6t2
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Solved in 2 steps
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