The displacement of a particle is given by x(t) = (4t – 3t2) m where t is measured in units of seconds. Compute the value of the velocity of the particle at 1 s in units of m/s. DO NOT ENTER UNTIS IN THE BOX BELOW.
The displacement of a particle is given by x(t) = (4t – 3t2) m where t is measured in units of seconds. Compute the value of the velocity of the particle at 1 s in units of m/s. DO NOT ENTER UNTIS IN THE BOX BELOW.
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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Transcribed Image Text:The displacement of a particle is given by
x(t)
(4t - 3t2) m
%3D
where t is measured in units of seconds. Compute the value of the velocity of the particle at 1 s in units of m/s. DO NOT ENTER UNTIS IN THE BOX BELOW.
Expert Solution

Step 1
We know that the velocity of any particle is the time rate of change of its displacement from a fixed point. Therefore if the particle's displacement is varying with time then the instantaneous velocity will be determined by the derivative of the displacement with respect to time.
If the displacement of a particle at a instant of t is given by,
Then the velocity of the particle will be given by,
.
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