A goods train accelerating uniformly on a str | vedclass

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Question

$\begin{array}{l}
Let'S'\,be\,the\,d{m{istance}}\,{m{between}}\,{m{two}}\,{m{ends}}\
{m{'a'}}\,{m{be}}\,{m{the}}\,{

Vedclass · Accepted Answer

$\sqrt {\left( {\frac{{{u^2} + {v^2}}}{2}} \right)} $

Vedclass · Answer

$\begin{array}{l}
Let'S'\,be\,the\,d{m{istance}}\,{m{between}}\,{m{two}}\,{m{ends}}\
{m{'a'}}\,{m{be}}\,{m{the}}\,{m{constant}}\,{m{accrleration}}\
{m{As}}\,{m{we}}\,{m{konw}}\,{{m{V}}^2} - {u^2} = 2aS\
or,\,aS = \frac{{{v^2} - {u^2}}}{2}\
Let\,V\,be\,velocity\,at\,mid\,po{\mathop{m int}} .
\end{array}$

$\begin{array}{l}
Therefore,\,V_c^2 - {u^2} = 2a\frac{S}{2}\
V_c^2 = {u^2} + aS\
v_c^2 = {u^2} + \frac{{{V^2} - {u^2}}}{2}\
{V_c} = \sqrt {\frac{{{u^2} + {v^2}}}{2}} 
\end{array}$

A goods train accelerating uniformly on a straight railway track, approaches an electric pole standing on the side of track. Its engine passes the pole with velocity $u$ and the guard's room passes with velocity $v.$ The middle wagon of the train passes the pole with a velocity.

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