The displacement of the particle varies with time according…

Physics Motion in a Straight Line Mix Single Correct MCQ

Published on: September 12, 2026

The displacement of the particle varies with time according to the relation \(x = \frac{k}{b} \left[ 1 - e^{-bt} \right]\) . Then the velocity of the particle is

\(k(e^{-i\beta})\)

\(\frac{k}{b^{2} e^{-j \pi}}\)

\(k b e^{i \pi}\)

None of these

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The correct answer is:

\(v = \frac{dx}{dt} = \frac{d}{dt} \left[ \frac{k}{b} \left\{ 1 - e^{-\frac{b}{m}t} \right\} \right]\) \(-\frac{k}{b} \cdot 0 - (-b) e^{\prime\prime}\) \(k_e \cdot \mu\) .

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