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We have carefully distinguished between ...

We have carefully distinguished between average speed and magnitude of average velocity. No such distinction is necessary when we consider instantaneous speed and magnitude of velocity. The instantaneous speed is always equal to the magnitude of instantaneous velocity. Why ?

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Because, for an arbitrarily small interval of time, the magnitude of displacement is equal to the length of the path.
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NCERT BANGLISH-MOTION IN A STRAIGHT LINE-EXERCISES
  1. The position-time (x-t) graphs for two children A and B returning from...

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  2. A woman starts from her home at 9.00 am, walks with a speed of 5 km h^...

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  3. A drunkard walking in a narrow lane takes 5 steps forward and 3 steps ...

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  4. A jet airplane travelling at the speed of 500 km h^(-1) ejects its pro...

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  5. A car moving along a straight highway with speed of 126 km h^(-1) is b...

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  6. Two trains A and B of length 400 m each are moving on two parallel tra...

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  7. On a two-lane road, car A is travelling with a speed of 36 km h^(-1). ...

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  8. Two towns A and B are connected by a regular bus service with a bus le...

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  9. A player throws a ball upwards with an initial speed of 29.4 ms^(-1). ...

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  10. Read each statement below carefully and state with reasons and example...

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  11. A man walks on a straight road from his home to a market 2.5 km away w...

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  12. We have carefully distinguished between average speed and magnitude of...

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  13. Look at the graphs (a) to (d) (Fig.) carefully and state, with reasons...

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  14. Figure. shows the x-t plot of one-dimensional motion of a particle. Is...

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  15. A police van moving on a highway with a speed of 30 km h^(-1) fires a ...

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  16. Suggest a suitable physical situation for each of the following graphs...

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  17. Figure. gives the x-t plot of a particle executing one-dimensional sim...

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  18. Figure. gives the x-t plot of a particle in one-dimensional motion. Th...

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  19. Figure. gives a speed-time graph of a particle in motion along a const...

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  20. A three-wheeler starts from rest, accelerates uniformly with 1 ms^(-2)...

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