# The x and y coordinates of the particle at any time are x = 5t - 2t2 and y = 10t respectively, where x and y are in meters and t in seconds. The acceleration of the particle at t=2 s is:

$\begin{array}{l} x=5 t-2 t^{2} \\\\ y=10 t \\\\ \frac{d x}{d t}=5-4 t \\\\ a_{x}=\frac{d^{2} x}{d t^{2}}=-4 \\\\ a_{y}=\frac{d^{2} y}{d t^{2}}=0 \\\\ a=a_{x}+a_{y}=-4+0 \\\\ a=-4 m s^{2} \end{array}$

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