Motion in a Straight Line - Result Question 23

24. The displacement $x$ of a particle varies with time $t$ as $x=a e^{-\alpha . t}+b e^{\beta t}$, where $a, b, \alpha$ and $\beta$ are positive constants. The velocity of the particle will

(a) be independent of $\alpha$ and $\beta$

[2005]

(b) drop to zero when $\alpha=\beta$

(c) go on decreasing with time

(d) go on increasing with time

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Answer:

Correct Answer: 24. (d)

Solution:

  1. (d)