A particle is moving along the \( x \)-axis whose position is given by \( x=4-9 t+\frac{t^{3}}{3...
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A particle is moving along the \( x \)-axis whose position is given by \( x=4-9 t+\frac{t^{3}}{3} \). Mark the correct statement(s) in relation to its motion.
(1) The direction of motion is not changing at any of the instants.
(2) The direction of the motion is changing at \( t=3 \mathrm{~s} \).
(3) For \( 0t3 \mathrm{~s} \), the particle is slowing down.
(4) For \( 0t3 \mathrm{~s} \), the particle is speeding up.
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