The displacement x of a particle varies with time asx=ae−αt+beβtwhere e, b, o and F are positive constants.The velocity of the particle will
go on decreasing with time
go on increasing with time
be independent of α and β
drop to zero when α = β
Given that x=ae−αt+beβt∴V=dxdt=−aαe−αt+bβeβt=aαeαt+bβeβtSo, v will go on increasing with time.