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Chapter 2: Problem 3

You check your odometer at the beginning of a day's driving and again at the end. Under what conditions would the difference between the two readings represent your displacement?

Short Answer

Expert verified
The difference between the two odometer readings would represent displacement if the journey was made in a straight line from the start point to the end point with no doubling back or detours.

Step by step solution

01

Understanding Displacement

Displacement is defined as the vector distance between the starting point and the final point. It not only tells how much distance has been covered but also the direction of the movement. Unlike total distance travelled, it takes into account only the initial and final positions.
02

Applying the Concept to the Given Problem

In the context of the exercise, the difference between the readings at the beginning and end of the day will represent displacement if, and only if, the path driven through the day leads directly from the starting point to the end point without any detours or return.
03

Final Condition

So, the condition under which the odometer's readings would represent displacement is if the journey was along a straight path from the start point to the end point without any turning back or round trips.

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