Archie designs an arch to serve as an outdoor sculpture in a park. The arch is to be a certain width and a certain height. To achieve the size and shape for the strongest arch, Archie suspends a chain from the two supports of equal heights that are as far apart as the arch is wide. Archie allows the chain to hang as low as the arch is high. He builds the arch to have exactly the shape of the hanging chain, but inverted. Explain.

Which type of current is produced by a wire breaking magnetic field lines and changing the polarity? a. alternating b. direct c. straight d. alternating and direct

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.)

If vx = 7.00 units and vy = -7.60 units, determine the magnitude of v⃗ . determine the direction of v⃗ .