AP Notes, Outlines, Study Guides, Vocabulary, Practice Exams and more!

Velocity/acceleration/position probs in Calc AB

2 posts / 0 new
Offline
Joined: Feb 2007
Velocity/acceleration/position probs in Calc AB

I am hoping someone can help me out with a problem. I've talked to my teacher about, oh seven times or so, and I still don't understand how to do the particle/acceleration problems.
My current problem states: A particle moves along the x-axis so that its velocity at any time t is greater than or equal to 0 is given by v(t)=1-sin(2pit).
a) Find the acceleration---This I can do, as it's only the second derivative.
b) Find the values of t, 0 less than or equal to t less than or equal to 2, for which the particle is at rest.---I think I know the answer, but only from graphing the velocity equation on my calculator. I'm not sure how to do this using calc, enough to get credit on the AP exam. Any help would be wonderful.
c) Find the position x(t) of the particle at any time t if x(0)=0. I know I have to take the anti-derivative of the velocity, taking account C, then set it equal to 0 (I think that's right, anyway). I'm just not sure how to do that. If anyone can walk me though this, I would be eternally thankful.

Thanks! My brain seems to have died when it comes to calc...

LUC:D

Offline
Joined: Nov 2007

for b, set the velocity fcn = to 0 and solve.
for c, you need to integrate the two parts *separately* and use u-substitution on the 2nd part.

check out my calc site:
http://marysbridge.com/calculus.aspx

Need Help?

We hope your visit has been a productive one. If you're having any problems, or would like to give some feedback, we'd love to hear from you.

For general help, questions, and suggestions, try our dedicated support forums.

If you need to contact the Course-Notes.Org web experience team, please use our contact form.

Need Notes?

While we strive to provide the most comprehensive notes for as many high school textbooks as possible, there are certainly going to be some that we miss. Drop us a note and let us know which textbooks you need. Be sure to include which edition of the textbook you are using! If we see enough demand, we'll do whatever we can to get those notes up on the site for you!