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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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Text Solution

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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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Fig. 2 (NCT). 10 . Give a speed-tiem graph of a particle in one dimenstional motion. Three different equal intervals of time are shwon. In which interval is the average acceleration graeatest in magnitude ? In which interval is the average speed greatest ? Choosing the positive direction as the constant direction of motion, give the signs of u and a in the three intervals. What are the acclerations at teh points A, B , C and D ? .

Find average speed in time interval t= 2 to t=10s

Knowledge Check

  • The velocity-time plot is shown in figure. Find the average speed in time interval t = 0 to t = 40 s during the period.

    A
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    B
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    C
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    D
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  • Assertion: The average velocity of a particle is zero in a time interval. It is possible that the instantaneous acceleration is never zero in the interval. Reason: The magnitude of average velocity in an interval is equal to its average speed in that interval.

    A
    If both assertion `&` Reason are True `&` the Reason is a corrrect explanation of the Asserion.
    B
    If both Assertion `&` Reason are True but Reason is not correct explanation of the Assertion.
    C
    If Assertion is Trie but the Reason is False.
    D
    If both Assertion `&` Reason are false

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