The \( x \) and \( y \)-coordinates of the particle at any time are \( x=5 t-2 t^{2} \) and \( y...

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The \( x \) and \( y \)-coordinates of the particle at any time are \( x=5 t-2 t^{2} \) and \( y=10 t \) respectively, where \( x \) and \( y \) are in metres and \( t \) in seconds. The acceleration of the particle at \( t=2 \mathrm{~s} \) is
(a) 0
(b) \( 5 \mathrm{~ms}^{-2} \)
(c) \( -4 \mathrm{~ms}^{-2} \)
(d) \( -8 \mathrm{~ms}^{-2} \)
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