A particle is moving along the path given by \( y=\frac{C}{6} t^{6} \) (where \( C \) is a posit...
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A particle is moving along the path given by \( y=\frac{C}{6} t^{6} \) (where \( C \) is a positive constant). The relation between the acceleration \( (a) \) and the velocity \( (v) \) of the particle at \( t=5 \mathrm{sec} \) is :
(A) \( 5 a=v \)
(B) \( a=5 v \)
(C) \( a=\sqrt{v} \)
(D) \( a=v \)
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