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NEET UG PHYSICS MCQ: MOTION IN A STRAIGHT LINE

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The displacement x of a particle varies with time t,  x=ae−αt+beβtt,\;x = a{e^{ - \alpha t}} + b{e^{\beta t}}, where a,b,α\alpha and β\beta are positive constants. The velocity of the particle will
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Correct option: D
Go on increasing with time
Option D (Go on increasing with time) is correct because the velocity's time derivative is positive, indicating increasing velocity.

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