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Fig. 2 (NCT).9 show the x-t plot of a p...

Fig. 2 (NCT).9 show the ` x-t` plot of a particle in one dimensional motion. Three different equal intervals of time are shown. In which interval the average speed is greatest and in which it is the least ? Give th sign of average speed for each interval.
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The correct Answer is:
3
By observation, for equal interval of time the magnitude of slope of line in x-t curve is greatest in interval 3.
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ALLEN-KINEMATICS-EXERCISE-04[A]
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  2. The position-time (x-t) graphs for two children A and B returning from...

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  3. A particle moves along x-axis with acceleration a = a0 (1 – t// T) wh...

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  4. A body moving with uniform acceleration, covers a distance of 20 m in ...

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  5. A lift accelerates downwards from rest at rate of 2 m//s^(2), starting...

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  6. A parachutist after bailing out falls 52 m without friction. When the ...

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  7. A train, travelling at 20 km//hr is approaching a platform. A bird is ...

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  8. A driver travelling at speed 36 kmh^(-1) sees the light trun red at th...

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  9. A ball is thrown vertically upwards with a velcotiy of 20 ms^(-1) from...

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  10. A balloon is going upwards with a constant velocity 15 m//s. When the ...

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  11. A train moves from one station to another in two hours time. Its speed...

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  12. A particle starts motion from rest and moves along a straight line. It...

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  13. Two cars travelling towards each other on a straight road at velocity ...

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  14. Two trains A and B 100 m and 60 m long are moving in opposite directio...

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  15. In a harbour, wind is blowing at the speed of 72 km //h and the flag ...

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  16. Two motor cars start from A simultaneously & reach B after 2 hour. The...

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  17. n' number of particles are located at the verticles of a regular polyg...

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  19. A particle is projected with a speed v and an angle theta to the horiz...

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  20. A projectile is thrown with speed u making angle theta with horizontal...

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