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Displacement in 1-D

The displacem...

Question

The displacement x of a particle varies with time t as x=ae^{-alpha t}+ be^{-beta t}where a,b, aloha and beta r positive constant the velocity of the particle will
A go on increasing
B drop to zero when alpha = beta
C be independent of alpha & beta
D go on

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Solution

Differentiating wrt to time, v= -aαe^(-αt) - bβe^(- βt) which go on decreasing to zero

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