An engineer designs a roller coaster so that a car travels horizontally for 152 ft, then climbs 117 ft at an angle of 32.0° above the horizontal. it then moves 117 ft at an angle of 47.0° below the horizontal. if we take the initial horizontal motion of the car to be along the x-axis, what is the car's displacement?

Abeverage can is made of 3004-h19 aluminum alloy (elastic modulus 69 gpa, tensile yield strength 285 mpa, density 2.72 g/cm^3). the dimensions on the can are approximated as a thin-walled cylinder with a height of 4.83 inches, diameter of 2.60 inches. empty the can has a mass of 14.2 g. determine: a. the wall thickness of the cylinder b. assuming a pinned-pinned condition what is the critical load? c. assuming a fixed-fixed condition what is the critical load?