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 :
