177.
The displacement x of a particle varies with time t as, x = ae-αt +b e βt where a, b α and β are positive constants. The velocity of the particle will
go on decreasing with time
be independent of α and β
drop to zero when α = β
go on increasing with time
D.
go on increasing with time
x = a e αt +b e βtSo velocity v = dXdt =-a αe-αt + b βe βeν = A + BWhere A = -a αe-αt , B =b βe βr
The value of term A = a e-αt decreases and of term B = b βeβe increases with increase in time. As a result, velocity goes on increasing with time.
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