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…

$\begin{array}{cc}x=5t-2t^2 & y =10t\end{array}$
$\begin{array}{cc}\frac{dx}{dt}=5-4t & \frac{dy}{dt}=10\end{array}$
The velocity of the particle in $x$ and $y$ coordinate is 

$\begin{array}{cc}{v}_x=5-4t & v_y \end{array}=10$
$\frac{d{v}_x}{dt}=-\mathrm{4 \; \; \; \; \; }$ $\frac{d{v}_y}{dt}=10$
 
$\begin{array}{cc}{a}_x= -4 & a_y=0\end{array}$
Acceleration of particle at $t=2\mathrm{ s}$ is $=-4\mathrm{ m}/{\mathrm{s}}^2$