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The velocity \( \overrightarrow{\mathbf{v}} \) of a particle moving in the \( x y \) - plane is given by \( \overrightarrow{\mathbf{v}}=\left(6 t-4 t^{2}\right) \hat{\mathbf{i}}+8 \hat{\mathbf{j}} \), with \( \overrightarrow{\mathbf{v}} \) in \( \mathrm{m} / \mathrm{s} \) and \( \mathrm{t}(0) \) in second.
Match the following columns :
Column - I Column - II
(A) Acceleration magnitude is \( 10 \mathrm{~m} / \mathrm{s}^{2} \)
(1) \( 3 / 4 \mathrm{~s} \) at a time
(B) Acceleration zero at time
(2) never
(C) velocity zero at time
(3) \( 1 \mathrm{~s} \)
(D) The speed \( 10 \mathrm{~m} / \mathrm{s} \) at a time
(4) \( 2 \mathrm{~s} \)
(a) (A) \( \rightarrow \) (3); (B) \( \rightarrow \) (1); \( \mathrm{C} \rightarrow(2) \); (D) \( \rightarrow \) (4)
(b) (A) \( \rightarrow \) (2); (B) \( \rightarrow \) (4); \( \mathrm{C} \rightarrow \) (3); (D) \( \rightarrow \) (1)
(c) \( \quad \) (A) \( \rightarrow \) (3); (B) \( \rightarrow \) (2); \( \mathrm{C} \rightarrow \) (4); (D) \( \rightarrow \) (1)
(d) \( (\mathrm{A}) \rightarrow(2) \); (B) \( \rightarrow \) (4); \( \mathrm{C} \rightarrow(1) \); (D) \( \rightarrow \) (3)
\( \mathrm{P} \)
W
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