One wintry day you accidentally drop your physics book (mass 2.50kg) on a sidewalk that tilts at an angle of 10 degrees below the horizontal. If the sidewalk is so icy as to be essentially frictionless, what is the book's acceleration as it slides downhill? Ok so I tried doing this problem but i get really confused when my textbook divides the gravitational force (weight) into its x and y components. In the book it lists the positive y axis as going up perpendicular to the tilted sidewalk, and the positive x axis to be going down the incline parallel to the sidewalk. Here's the part I don't understand, they listed (weightbook, x)=massbookgsinΘ and weightbook,y=massbookgcosΘ wouldn't the x component have cosineΘ and the y component have sinΘ? I always thought cos pertained to the x axis and sin pertained to the y axis. If anyone could explain this part and show a walk through of the problem it would be much appreciated! The final answer turned out to be 1.7 m/s2.