When an object slides on a$$ surface, it encounters a resistance force called friction. This force has a magnitude of

mu$$N$,$

where

mu

is the coefficient of kinetic friction and N is the magnitude of the normal force that the surface applies to the object. Suppose an object of mass

$2020$

kg is released from the top of an inclined plane that is inclined

$6060$degrees$$

to the horizontal. Assume the gravitational force is$$ constant, air resistance is$$ negligible, and the coefficient of kinetic friction

muequals$=0\mathrm{.}20\mathrm{.}2.$

Determine the equation of motion for the object as it slides down the plane. If the top surface of the plane is

$66$

m$$ long, what is the velocity of the object when it reaches the$$ bottom? Assume that the acceleration due to gravity is $9\mathrm{.}81$ m divided by sec squared $\mathrm{.}9\mathrm{.}81$m$/$sec$2.$