A $1\mathrm{.}72$ kg block is initially at rest on a horizontal frictionless surface when a horizontal force in the positive $x$ direction is applied to the block.

The force is given by $F(x)=(2\mathrm{.}55-x^2)N,$ where $x$ is in meters and the initial position of the block is $x=0.$

A$.$ Calculate the kinetic energy of the block as it passes through $x=2\mathrm{.}0m.$

$4\mathrm{.}00$

B$.$ Calculate the velocity of the block as it passes through $x=2\mathrm{.}0m.$

$4\mathrm{.}00$

C$.$ Between $x=0$ and $x=2\mathrm{.}0m,$ where is the object when its kinetic energy is at maximum?

$4\mathrm{.}00$

D$.$ Calculate the kinetic energy associated with the position in question C$.$

$4\mathrm{.}0$ V

E$.$ Calculate the block's velocity associated with the position in question C$.$

$4\mathrm{.}0$