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Motion In Straight Line

Question
CBSEENPH11017124
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Average speed is magnitude of average velocity vector and average speed is also defined as the ratio of total length of path travelled to the time elapsed. Does these two definitions have different meanings? If so, give an example. 

Solution
Yes, the two sentences imply different meaning except when direction of velocity is constant. 
When the direction of velocity changes then according to the first definition,
Average speed = AC over Δt any the second definition, 
Average speed  = space space space space fraction numerator AC with overbrace on top over denominator Δt end fraction
Since  top enclose AC greater than AC
Therefore average speed by second definition is greater then the average speed by first definition.

Some More Questions From Motion in Straight Line Chapter

Can a body be always at rest in some frame?

Can a body be in motion in the frame associated with the body itself?

When an object in motion can be considered as particle or point object?

Can you think of physical phenomena involving the moon in which moon cannot be treated as particle?

A train is crossing the bridge. Can it be taken as a particle?

Can a train be taken a particle? Give an example in support of your answer.

 A particle is moving along curved line in space. Is the motion one dimensional?

State which of the following are examples of one, two or three dimensional motion: 

(a) A kite flying in the sky.

(b) The earth revolving around the sun. 

(c) A train moving along the equator of the earth in clockwise direction. 

(d) Accelerated motion of a particle in a straight line.

Define distance.

Define displacement.

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