Dacia asks Katarina why it is important to learn a new coordinate system, because they have been using the Cartesian coordinate system and it seems to Dacia that it works fine. Which of Katarina's replies to Dacia are correct?
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(Select all that apply.)
"Many objects move in arcs of circles or complete circles at times, and polar coordinates allow the motion of such objects to be comprehended more easily. Some of Newton's laws in certain cases, such as calculation of g from first principles, are much easier to calculate using polar coordinates."
"These coordinates are just used to confuse students."
"Physics teachers are helping math teachers by getting students to practice their trigonometry."
"In some cases, such as addition of forces, where a force magnitude is specified, it is simpler to describe the forces in polar coordinates and be able to convert to the x-y representation."