A $5$ kg object is initially at rest on top of a frictionless inclined plane, which has a height of $3$ meters and a length of $5$ meters. If the object slides down the plane and reaches the bottom, what is the approximate speed of the object at the bottom of the plane? Assume that the gravitational acceleration is $9\mathrm{.}8$ m$/$s$^2$ and that the conservation of mechanical energy holds.

Hint: Use the initial potential energy and equate that to the final kinetic energy.$$Solve for the speed.

$7\mathrm{.}7$ m$/$s

$5\mathrm{.}2$ m$/$s

$13\mathrm{.}1$ m$/$s

$10\mathrm{.}4$ m$/$s