Question

3. what is the numerical ratio of average velocity to average speed of an object moving along a
straight line path
(a) 1:2
(b) 2:1
(c) 1:1
(d) none of these​

Answer 1

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Answer:

a)1:2

Explanation:

As displacement ≤ distance, therefore, the numerical ratio of average velocity to average speed is equal to or less than one but can never be more than one

To answer this, you have to remember that velocity is a vector and speed is a scalar. Specifically, instantaneous speed is the magnitude of the instantaneous velocity vector.

When moving along a straight path the velocity vector is always orientated in the same direction, and hence the magnitude of the average velocity is equal to the average speed. Therefore when you divide the average velocity (a vector) by the average speed (a scalar), then what you get is the unit vector in the direction of travel.

Note that the question asks for a numerical ratio, but this is incorrect as the ratio of a vector with a scalar is a vector. However if you take the magnitude of the average velocity divided by the average speed in this case then you get the value 1.

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Answer 2

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