Exam 1 Wrap Up and Bonus Question Hint

For the exam tomorrow you can expect 8 calculations. Don't expect any basic calculations involving vectors. Most of that material will be covered by calculations in other problems(i.e. cross product by finding B and , length of a vector in the arclength integral). There will be one abstract problem(like 17 from the review) involving some vector identity.

As far as the bonus, it could be one of three things:
1. A four dimensional generalization of the cross product.
2. A projectile motion question similar to the "baseball in the wind" example from class.
3. Combining curves to form something "nice" in terms of curvature.

Good Luck!

Projectile Motion

A classic application of working with position, velocity, and acceleration in terms of vector function is to answer questions pertaining to projectile motion. Like what we did in class today(2/10/2011). It turns out there are a ton of helpful resources on the web for these types of problems.

Here is an hour long video from an MIT introductory physics course. He doesn't start from the begining of the topic, but does give several good examples that follow from what we did in class.

Watch it on Academic Earth

Here is another example:



If you guys find anything else that is helpful post it in the comments.