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Chapter 1: Q6DQ (page 57)

Under what conditions does the magnitude of the average velocity equal the average speed?

Short Answer

Expert verified

The magnitude of average velocity is equal to average speed when the distance traveled by the object is equal to the displacement.

Step by step solution

01

Average Velocity and Average Speed

Average Velocity

Average velocity refers to the ratio of the rate of change of displacement to time. Also, it is a vector quantity.

Average Speed

Average speed refers to the ratio of the total distance traveled by the object to the total time taken. Also, it is a scalar quantity.

02

Explanation

The conditions for which the average velocity and average speed are equal are:

(a) The displacement of an object is equal in magnitude to the total distance moved by that object.

(b) The object must have a motion along a straight line.

Thus, the only condition for which average velocity and average speed have the same magnitudes is when the distance traveled and displacement are equal.

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