Question

a train is travelling at a speed of 90 km per hour. barkes a re applied so as to produce a uniform accerlation of 0.5 m per second square. find how far train will go before it is brought to rest.


plz answer and I will mark the brilliance ......


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Answer 1

$\huge{\mathfrak{Question:-}}$

A train is travelling at a speed of 90 km per hour. Brakes are applied so as to produce a uniform acceleration of 0.5 m per second square. Find how far train will go before it is brought to rest.  

$\huge{\mathfrak{Solution:-}}$

${\mathtt{Given:-}}$

$\sf{v=90\;km/hr=25\;m/s}$

$\sf{u=0\;m/s}$

$\sf{a=-0.5\;m/s^{2}}$

${\mathtt{To\;find:-}}$

$\sf{Total\;distance\;travelled\;by\;train=?}$

$\sf{So,}$

$\sf{By\;using\;equation\;of\;motion}$

$\sf{v^{2}-u^{2}=2as}$

$\sf{s=\frac{v^{2}-u^{2}}{2a}}$

$\sf{s=\frac{0^{2}-25^{2}}{2\times -0.5}}$

$\sf{s=\frac{-625}{-1}}$

$\sf{s=625\;m}$

$\boxed{\sf{Thus,\;the\;total\;distance\;travelled\;would\;be\;s=625\;m}}$