The formulas used to analyze the horizontal and vertical motion of projectiles launched at an angle involve the use of which function(s)?

An engineer designs a roller coaster so that a car travels horizontally for 162 ft, then climbs 127 ft at an angle of 31.0° above the horizontal. it then moves 127 ft at an angle of 46.0° 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? (give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.)

Atrain departs from its station at a constant acceleration of 5 m/s. what is the speed of the train at the end of 20s?

In a good thermo flask the main cause of heat loss is