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CBSE Class 11-science Answered

How to solve this problem?
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Asked by dineshchem108 | 01 Mar, 2019, 10:36: PM
answered-by-expert Expert Answer
Acceleration  is defined as rate of change of velocity.
 
Let initial velocity be u and final veleocity be v. Let this change in velocity takes place in t seconds.
 
Hence acceleration a = (v-u)/ t   or   v = u + at ....................................(1)
 
Distance S travelled in t seconds is given by,     S = (average velocity) × time = (1/2) ( v+u ) × t .....................(2)
 
using eqn.(1), eqn.(2) can be written as S = (1/2) ( u+at+u) × t =  u×t + (1/2)a×t2  ............................(3)
 
Let us consider eqn.(2) :  S = (1/2) (v+u) × t 
 
in the above equation, if we substitute for t using eqn.(1), we get,  S = (1/2) (v+u) (v-u)/a   or  v2 = u2 + 2aS
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