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Matter In Our Surroundings

Question
CBSEENSC9005691

Define average velocity when the velocity of a body changes at a nonuniform rate and a uniform rate.

Solution

Average velocity:
When the velocity of a body changes at a non-uniform rate, its average velocity is defined as the net displacement covered divided by the total time taken.
Average space velocity space space equals space fraction numerator Net space displacement over denominator Total space time space taken end fraction

When the velocity of a body changes at a uniform rate, then the average velocity is given by the arithmetic mean of initial velocity and final velocity for a given period of time.
Average space velocity space space equals space fraction numerator Initial space velocity space space plus space Final space velocity over denominator 2 end fraction

If u is the initial velocity and v is the final velocity, then the average velocity vav is given by,
                     v subscript av italic space italic equals italic space fraction numerator straight u plus v over denominator 2 end fraction