Answered: Match the given velocity vs time graph…

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

Match the given velocity vs time graph to the correct position vs time graph that
represents the same motion. Don’t worry about matching exact times, just look for the
right pattern.
In a couple sentences or bullet points, describe a physical scenario for the motion (for
example, using the motion of a person walking or a car driving).

X
Possible x vs t graphs:
a, b, c
d
e
t
d
nu
t
b
d
с
e
t

Expert Solution

Step 1

Figure C of the position vs time graph matches correctly with the given velocity vs time graph.

Explanation-

For the part A portion of the x vs t graph, position is decreasing continuously but in a parabola. So velocity is negative, but the slope continuously decreases & becomes flat with time axis at point B. So for part A velocity is negative & increased to zero at B momentarily.
In part C, position vs time slope continuously increases by forming a parabola in positive x direction. So velocity is positive and uniformly increases for part C
Again for D part, position vs time graph becomes a straight line, so velocity is constant at that region.

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