A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
Find the error?
Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time interval.
x = 2sin\(^2\) t, y = 2cos\(^2\) t, 0 ≤ t ≤ 4π
I can't see what I did wrong here, posting image below. Any idea @TuringTest? The derivatives look ok...
anonymous
 4 years ago
Find the error? Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time interval. x = 2sin\(^2\) t, y = 2cos\(^2\) t, 0 ≤ t ≤ 4π I can't see what I did wrong here, posting image below. Any idea @TuringTest? The derivatives look ok...

This Question is Open

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0*Fixed the formatting syntax in the question

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0It's a full two revolutions, obviously. What stumps me is what I could have done incorrect here when the other problem around it are ok... *goes to see your link*

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.08\(\pi\)? o_O What about it?

experimentX
 4 years ago
Best ResponseYou've already chosen the best response.0why ... what is the answer?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0A smart way to see this problem is check that \[x ^{2}+y^{2}=4\]. This is an equation for the circunference with radius R=2. Since \[4 \pi \] means two revolutions, the length of the circunference is \[S=2\pi R\] then the distance traveled is \[8\pi \]. Note that the displacement is zero, because the initial and end position are same while the distance traveled is not zero in this case.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.