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A point particle moves in \( x y \)-plane according to the law \( \mathrm{x}=\mathrm{a} \sin 2 \mathrm{t} \) and \( \mathrm{y}=\mathrm{a}-\mathrm{a} \cos 2 \mathrm{t} \) where \( \mathrm{a} \) is a positive constant and \( t \) is the time. Match the suitable matching.
List I
List II
(P) x component of
(1) constant and velocity equal to \( 2 \mathrm{a} \)
(Q) y-component of
(2) constant and
acceleration equal to 4 a
(R) Speed
(3) vary as sinusoidally
(S) \( \mid \) Acceleration \( \mid \)
(4) vary as linearly
Codes
\( \begin{array}{rlll}\mathbf{P} & \mathbf{Q} & \mathbf{R} & \mathbf{S} \\ \text { (1) } 3 & 3 & 1 & 2 \\ \text { (2) } 3 & 4 & 1 & 2 \\ \text { (3) } 3 & 2 & 1 & 4 \\ \text { (4) } 3 & 4 & 2 & 1\end{array} \)
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