CBSE Class 11-science Answered

eg. v = 2x ; assume t = 0 ; x = 2 m ; find a(t)?

Asked by kapilkulhari | 23 May, 2019, 06:56: PM

Expert Answer

v equals 2 x fraction numerator d x over denominator d t end fraction equals 2 x integral fraction numerator d x over denominator x end fraction equals integral 2 d t ln x equals 2 t plus C a t space t equals 0 semicolon space x equals 2 m ln 2 equals C T h e r e f o r e ln x equals 2 t plus ln 2 x equals 2 e to the power of 2 t end exponent A s space w e space k n o w v equals fraction numerator d x over denominator d t end fraction v equals fraction numerator d open parentheses 2 e to the power of 2 t end exponent close parentheses over denominator d t end fraction v equals 2 fraction numerator d open parentheses e to the power of 2 t end exponent close parentheses over denominator d t end fraction v equals 2 open parentheses 2 e to the power of 2 t end exponent close parentheses V equals 4 e to the power of 2 t end exponent A c c e l e r a t i o n comma a equals fraction numerator d v over denominator d t end fraction equals 4 open parentheses fraction numerator d e to the power of 2 t end exponent over denominator d t end fraction close parentheses a left parenthesis t right parenthesis equals 8 e to the power of 2 t end exponent

Answered by Utkarsh Lokhande | 24 May, 2019, 11:33: AM

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