\( S=A\left(1-e^{-B x t}\right) \), where \( S \) is speed and \( x \) is displacement. The unit...

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\( S=A\left(1-e^{-B x t}\right) \), where \( S \) is speed and \( x \) is displacement. The unit of \( B \) is
[UPSEAT 2001]
(a) \( \mathrm{m}^{-1} \mathrm{~s}^{-1} \)
(b) \( \mathrm{m}^{-2} \mathrm{~s} \)
(c) \( s^{-2} \)
(d) \( s^{-1} \)
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