The displacement x of a particle varies with the time t, x=ae^(-αt)+be^βt, where a,b,α and β are positive constants. The velocity of the particle will April 2, 2022 by Ezee_Notes with no comment Physics Problems Question : The displacement x of a particle varies with the time t, x=ae^{-\alpha t}+be^{\beta t}, where a,b,α and β are positive constants. The velocity of the particle will (A) Go on decreasing with time (B) Be independent of α and β (C) Drop to zero when α = β (D) Go on increasing with time Answer : option (D) Solution : Related Previous Post A particle starts from rest and travels a distance s with uniform acceleration, then it travels a distance 2s with uniform speed, finally it travels a distance 3s with uniform retardation and comes to rest. If the complete motion of the particle in a straight line then the ratio of its average velocity to maximum velocity in Next Post A body is thrown vertically upwards. If air resistance is to be taken into account, then the time during which the body rises is