I can't say if watching Khan Academy (KA) would suffice, but perhaps on some level. From what I hear you'll learn a lot of the techniqus needed ( ie you'll learn derivatives, integrals, and common application), but I'm not entirely sure how much depth you really get. However, if you're mostlying looking to first learn techniques to help solve physics problems or at least get an initial understanding, then it should suffice.
If you find that you want more logic and more rigor and motivation that requires greater thought, I tend to recommend Courant's Calculus book. I don't expect you to be able to solve these problems, but I found the book to be well motivated and helps you learn how to think about problems. It isn't a simple read the text, find an example, and then apply to problem set book. You'll be required to recall information you have learned once and apply it without being told to do so.
Also Calculus made easy, by thompson is a decent book, outdated on some issues and might lead to confusion in later visit of calculus, but I don't foresee it being a great problem.