Motion In A Straight Line Ques 18
18. 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
[2005]
(a) be independent of $\alpha$ and $\beta$
(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: 18.(d)
Solution:
- (d) No Solution is required.