Joe wants to buy a fast car and is looking at a car that can accelerate from 45 to 60 in 3.5 seconds. Determine the acceleration of this car and if it is fast given that most sports cars can accelerate at 7.66 [[m/s?1].

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.)

Aforce of 200 n is applied to an input piston of cross-sectional area 2 sq. cm pushing it downward 2.8 cm. how far does the output piston of cross-sectional area 12 sq. cm move upward? show all work.

Why is the energy that results from a roller coaster's position at the top of a hill referred to as potential energy?