A 1.5 kg block is initially at rest on a horizontal frictionless surface when a horizontal force in the positive x-axis direction is applied to the block . The force $\hat F$ is given by $\hat F=(4-x^2)\hat i \;N$ . Initial position of the block is $x=0$. The maximum kinetic energy of block between $x=0$ to $x=2.0$ is

Question

\[(a)\;5.33\;J \quad (b)\;8.67\;J \quad (c)\; 2.33 \;J \quad (d)\;6.67\;J\]