A particle moves in the \( x y \)-plane and at time \( t \) is at the point \( \left(\mathrm{t}^...
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A particle moves in the \( x y \)-plane and at time \( t \) is at the point \( \left(\mathrm{t}^{2}, \mathrm{t}^{3}-2 \mathrm{t}\right) \). Then
(A*) At \( t=2 / 3 \mathrm{~s} \), directions of velocity and acceleration are perpendicular
\( \left.\mathrm{B}^{*}\right) \) At \( t=0 \), directions of velocity and acceleration are perpendicular
(C*) At \( t=\sqrt{2 / 3} \mathrm{~s} \), particle is moving parallel to \( x \)-axis
(D*) Acceleration of the particle when it is at point \( (4,4) \) is \( 2 \hat{i}+12 \hat{j} \)
\( \mathrm{P} \)
\( \mathrm{W} \)
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