The position \( x \) of a particle with respect to time \( t \) along \( x \)-axis is given by \... VIDEO
The position \( x \) of a particle with respect to time \( t \) along \( x \)-axis is given by \( x=9 t^{2}-t^{3} \) where \( x \) is in metres and \( t \) in seconds. What will be the position of this particle when it achieves maximum speed along the \( +x \) direction?
(a) \( 54 \mathrm{~m} \)
(b) \( 81 \mathrm{~m} \)
(c) \( 24 \mathrm{~m} \)
(d) \( 32 \mathrm{~m} \).
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