Even though Susan Rigetti says you don’t need to learn calculus first, I would recommend it -— or learn it concurrently with the introductory mechanics course. Mechanics is so much more enriching when you learn the mathematical language that was created to describe it.
You’ll already be one step ahead by the time you get to the second course, which is good, because you can strongly benefit from learning vector calculus at that time. I really enjoyed the text “Div, Grad, Curl and all that”.
One problem with approaching physics without any calculus is that you're more or less in the place in which most people taking high school physics are. Here are a bunch of formulas. Memorize them and don't worry about why they are what they are or how they relate to all the other formulas that you also have to memorize.
You’ll already be one step ahead by the time you get to the second course, which is good, because you can strongly benefit from learning vector calculus at that time. I really enjoyed the text “Div, Grad, Curl and all that”.