The displacement \( x \) of a particle varies with time \( t \), \( x=a e^{-\alpha t}+b e^{\beta...

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The displacement \( x \) of a particle varies with time \( t \), \( x=a e^{-\alpha t}+b e^{\beta t} \), where \( a, b, \alpha \) and \( \beta \) are positive constants. The velocity of the particle will
(a) Go on decreasing with time
(b) Be independent of \( \alpha \) and \( \beta \)
(c) Drop to zero when \( \alpha=\beta \)
(d) Go on increasing with time
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