CBSE Class 11-science Answered
How to solve this problem?
Asked by dineshchem108 | 01 Mar, 2019, 10:36: PM
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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