A body has speed V, 2V and 3V in first 1/3 of distance S , seconds 1/3 of S and third 1/3 of S respe

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2.Motion in Straight Line

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A body has speed $V, 2V$ and $3V$ in first $1/3$ of distance $S$, seconds $1/3$ of $S$ and third $1/3$ of $S$ respectively. Its average speed will be

$V$

$2V$

$\frac{{18}}{{11}}V$

$\frac{{11}}{{18}}V$

Solution

(c) ${v_{av}} = \frac{{{\rm{Total}}\,{\rm{distance}}}}{{{\rm{Time}}\,{\rm{taken}}}} = \frac{x}{{\frac{{x/3}}{v} + \frac{{x/3}}{{2v}} + \frac{{x/3}}{{3v}}}}$$ = \frac{{18}}{{11}}v$

Standard 11

Physics

A $150 \,m$ long train is moving with a uniform velocity of $45 \,km/h$. The time taken by the train to cross a bridge of length $850 $ meters is……….$sec$

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Explain clearly, with examples, the distinction between

$(a)$ magnitude of displacement (somettmes called distance) over an interval of time, and the total length of path covered by a particle over the same interval

$(b)$ magnitude of average velocity over an interval of time, and the average speed over the same interval. [Average speed of a particle over an interval of time is defined as the total path length divided by the time interval].

Show in both $(a)$ and $(b)$ that the second quantity is either greater than or equal to the first. When is the equality sign true ? [For simplicity, consider one-dimensional motion only].

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A particle moves along a semicircle of radius $10\,m$ in $5$ seconds. The average velocity of the particle is………..$ms^{-1}$

easy

A point traversed half of the distance with a velocity $v_0$. The remaining part of the distance was covered with velocity $v_1$ for half the time and with velocity $v_2$ for the other half of the time. The mean velocity of the point averaged over the whole time of motion is

medium

In $1.0\, s$ a particle goes from point $A$ to point $B$, moving in a semicircle of radius $1.0\, m$ (see figure). The magnitude of the average velocity is ……… $m/s$

easy

(IIT-1999)

A body has speed $V, 2V$ and $3V$ in first $1/3$ of distance $S$, seconds $1/3$ of $S$ and third $1/3$ of $S$ respectively. Its average speed will be

Solution

Similar Questions

A $150 \,m$ long train is moving with a uniform velocity of $45 \,km/h$. The time taken by the train to cross a bridge of length $850 $ meters is……….$sec$

A particle moves along a semicircle of radius $10\,m$ in $5$ seconds. The average velocity of the particle is………..$ms^{-1}$

A point traversed half of the distance with a velocity $v_0$. The remaining part of the distance was covered with velocity $v_1$ for half the time and with velocity $v_2$ for the other half of the time. The mean velocity of the point averaged over the whole time of motion is

In $1.0\, s$ a particle goes from point $A$ to point $B$, moving in a semicircle of radius $1.0\, m$ (see figure). The magnitude of the average velocity is ……… $m/s$

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