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Home / Doubts and Solutions/JEE/Physics

if velocit is given by following function v=xsquare then find out relation between x & t (assume x=1m at t=0)

Asked by gargpuneet989 25th June 2018, 9:01 AM
Answered by Expert
Answer:
begin mathsize 12px style v space equals space fraction numerator d x over denominator d t end fraction space equals space x squared fraction numerator d x over denominator x squared end fraction space equals space d t space.......... left parenthesis 1 right parenthesis i f space w e space i n t e g r a t e space e q n. left parenthesis 1 right parenthesis comma space w e space g e t comma space 1 over x plus t space equals space C space........... left parenthesis 2 right parenthesis i n space E q n. left parenthesis 2 right parenthesis comma space C space i s space c o n s tan t space o f space i n t e g r a t i o n comma space w h i c h space i s space t o space b e space e v a l u a t e d space u sin g space t h e space c o n d i t i o n space a t space t equals 0 comma space x equals 1 w e space g e t space C space equals 1 h e n c e space s u b s t i t u t i n g space C equals 1 space i n space space e q n. left parenthesis 2 right parenthesis comma space w e space g e t space 1 over x space equals space t minus 1 space space o r space x space equals space fraction numerator 1 over denominator left parenthesis t minus 1 right parenthesis end fraction end style
Answered by Expert 25th June 2018, 9:32 AM
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