A particle moves in a plane along an elliptic path given by \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{...
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A particle moves in a plane along an elliptic path given by \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \). At \( (0, b) \) the \( x \) - component of velocity is \( u \). The \( y \)-component of acceleration at this point is
[KVPY 2011]
(a) \( \frac{-b u^{2}}{a^{2}} \)
(b) \( \frac{-u^{2}}{b} \)
(c) \( \frac{-a u^{2}}{b^{2}} \)
(d) \( \frac{-u^{2}}{a} \)
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