SATHEE: Motion in a Straight Line

Motion in a Straight Line - Result Question 23

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

(a) be independent of $α$ and $β$

[2005]

(b) drop to zero when $α = β$

(d) go on increasing with time

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Answer:

Correct Answer: 24. (d)

Solution:

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Motion in a Straight Line - Result Question 23

24. The displacement x of a particle varies with time t as x=ae−α.t+beβt, where a,b,α and β are positive constants. The velocity of the particle will

Answer:

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