The total displacement is merely the sum of the given vectors. Write each vector in terms of its components. Note that a direction like southwest implies a 45 degree angle between south and west, this should help you write the components.
To find a vector component in a direction, you need to...
Part of physics is learning how to think; not necessarily in the mathematical sense, but in the physical sense! Keep your mind open, as the mathematics isn't necessarily the most difficult part of physical problems.
I can't answer your question on the textbook, though. I've only used the...
Do you mean you'll be doing your undergrad in biomedical engineering? Plenty of novel research goes on in biomedical engineering. You'll have many opportunities to write and publish papers if you find work with a well-funded professor. All you need to publish a paper is a hypothesis and relevant...
You'll be fine if you have the work ethic and time management skills.
I generally took 15-18 hours of coursework each semester, with 4/5 courses being STEM courses through my chemical engineering curriculum. I had time to hang out with friends, etc. It's all about budgeting your time. Keep...
Don't sweat it. Learn at your own pace. You may not find introductory physics particularly interesting. I know I didn't get a lot out of it. Just practice problems and do your best. Try to understand the underlying principles so you can solve whichever problems are thrown at you.
How far are you in your curriculum? For now, keep your options open and take classes you're interested in I would say. I'm soon to graduate with a B.S. in chemical engineering, let me know if you have questions.
Voltage refers to a difference in potential energy across two points. It's essentially work done to move a charge between two points. In an ideal wire, there is nothing present to impede the charge from moving freely. I say ideal as real wires have some electrical resistance (superconducting...
It may be useful for you to look at an energy balance. The total energy will be conserved in this system, with the heat transfer through one layer equal to the heat transfer through each subsequent layer. Look up Fourier's Law of Thermal Conduction.
Reading Euclid's Elements is not necessary for one who is just beginning to study geometry. However, you might find it both interesting and useful. Give it a shot if you have time. As always, learn for the sake of knowledge.
For biomedical engineering, you will most likely take the following:
Single variable calc, multivariable calc, ODE, statistics
Can't think of any others. The CS/EE guys generally take linear algebra as well.