Consider the block $M=171\mathrm{.}5kg$ which is on an

incline of angle $=25.$ There is friction between $M$ and the incline. The kinetic coefficient of friction between the block $M$ and the surface is ${}_k=0\mathrm{.}18.$ The static coefficient of friction between the block $M$ and the surface is ${}_s=0\mathrm{.}3.$ In addition, there is an applied force $P=450N$ on $M$ vertically, as shown.

$($a$)$ Draw a detailed free body diagram of $M.$

$($b$)$ Initially

the block is held at rest. When it is released, does it remain at rest or start sliding? What direction does it want to slide? Justify your answer with calculations.

$($c$)$ Later, the block is kicked up the slope. Calculate the magnitude of the subsequent acceleration. $($After the kick has finished$)$

$($d$)$ Explicitly describe how the block is moving $($speeding up or slowing down$).$ Explain.