Question

You lay a rectangular board on a horizontal floor and then tilt the board about one edge until it slopes at an angle of 35^\circ∘ with the horizontal. Choose your origin to be at one of the two corners that touch the floor, with the x-axis pointing along the bottom edge of the board, the y-axis pointing up the slope, and the z-axis normal to the surface of the board. You kick a frictionless puck that is initially at the origin so that it has an initial velocity of (5,10,0) meters per second. Your goal is to determine where the object will return to the floor.

(a) Use Newton's second law to determine the equations of motion in all three directions.

Answer 1