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Question #3f1d8

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Answer 1 · 2016-05-22T05:35:59

If a man is standing by the track and train is running at $60$ $60$ $k m$ $km$ / $h r$ $hr$ to south his relative velocity is $60$ $60$ miles south direction.

Explanation:

If he is also running at $10$ $10$ $k m$ $km$ / $h r$ $hr$ towards south, his velocity relative to train is only $60 - 10$ $60-10$ = $50$ $50$ $k m$ $km$ / $h r$ $hr$ to south.

If he run to north at $10$ $10$ $k m$ $km$ / $h r$ $hr$ his relative velocity will be $70$ $70$ $k m$ $km$ / $h r$ $hr$ with train.
Hope this explains the relative velocity.

Answer 2 · 2016-05-22T15:54:37

Concept.
For rain problem,
If ${\to V}_{A} and {\to V}_{B}$ $vecV_A and vecV_B$ are velocities of objects $A and B$ $A and B$ respectively then

${\to V}_{A B} = {\to V}_{A} - {\to V}_{B}$ $vecV_(AB)=vecV_A-vecV_B$ is the velocity of $A$ $A$ with respect to $B$ $B$ .

Explanation:

Following the above logic

${\to V}_{r m} = {\to V}_{r} - {\to V}_{m}$ $vecV_(rm)=vecV_r -vecV_m$ is velocity of rain with respect to man.

![1.bp.blogspot.com]( useruploads.socratic.org )
See the vector representation on the right side of the figure above.

Velocity vectors ${\to V}_{m} and {\to V}_{r}$ $vecV_m and vec V_r$ are drawn.
Recall $- v e$ $-ve$ sign in front of the the second term.
Therefore, draw $- {\to V}_{m}$ $-vecV_m$ at the tip of ${\to V}_{r}$ $vecV_r$
Join the tail of ${\to V}_{r}$ $vecV_r$ to the tip of $- {\to V}_{m}$ $-vecV_m$ to obtain ${\to V}_{r m}$ $vecV_(rm)$ as velocity of rain with respect to man.

Similar steps need to be followed if ${\to V}_{m r}$ $vecV_(mr)$ , velocity of man with respect to rain is to be found.

Velocity vectors ${\to V}_{m} and {\to V}_{r}$ $vecV_m and vec V_r$ are drawn.
We are to find out ${\to V}_{m r}$ $vecV_(mr)$ , velocity of man with respect to rain.
We know that ${\to V}_{m r} = {\to V}_{m} - {\to V}_{r}$ $vecV_(mr)=vecV_m-vecV_r$
Therefore draw $- {\to V}_{r}$ $-vecV_r$ at the tip of ${\to V}_{m}$ $vecV_m$
Join the tail of ${\to V}_{m}$ $vecV_m$ to the tip of $- {\to V}_{r}$ $-vecV_r$ to obtain ${\to V}_{m r}$ $vecV_(mr)$ as velocity of man with respect to rain.

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Question #3f1d8

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