What is the displacement? (a) the total distance traveled 8.0m (b) the distance from start to finish 4.0m (c) the displacement from start to finish ?m

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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What is the displacement?

(a) the total distance traveled
8.0m
(b) the distance from start to finish
4.0m
(c) the displacement from start to finish
?m

A
B
2
4
6
8
10 12 х (m)
Transcribed Image Text:A B 2 4 6 8 10 12 х (m)
Expert Solution
Step 1

Introduction:

Kinematical equation of motion plays vital role in day to day life. Motion of the object can be described by the Newton's laws of motion. Kinematical equations of motion derived from Newton's laws of motion. Distance is the scalar quantity whereas, displacement is the vector quantity. Displacement of the particle is depends on the initial and final position. Whereas, distance travelled is the actual distance traveled by the particle. 

Given data:

In the problem, several situations are given. In the given problem it is asked to find the displacement for the particle d.

the total distance traveled is,
8.0m
the distance from start to finish
4.0m

Formula used:

Displacement of the particle is the distance between initial and final position.

Step 2

Calculation:

From the given figure,

Particle d starts its journey from x= 9 m. It reaches x= 3 m and again turns back and reaches to x= 5 m.

Therefore the displacement is,

d=Final position - Initial positiond=9 m - 5 mx^d=-4 mx^

Negative sign indicates that the direction of the displacement vector is in the negative x- axis.

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