Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Best_Mathematician
Group Title
calculus help...plz explain and answer question...i totally dont know what they are...studying on my own
 one year ago
 one year ago
Best_Mathematician Group Title
calculus help...plz explain and answer question...i totally dont know what they are...studying on my own
 one year ago
 one year ago

This Question is Closed

Best_Mathematician Group TitleBest ResponseYou've already chosen the best response.0
 one year ago

phi Group TitleBest ResponseYou've already chosen the best response.1
r is a position vector... the position of a point that changes with time. it has components in the x direction (the "ith" component) and y direction the velocity of the point is dr/dt (derivative with respect to time) you take the derivative of each component separately.... you get a new vector that represents the velocity in the x and y dimensions...
 one year ago

phi Group TitleBest ResponseYou've already chosen the best response.1
it is not obvious, but they mean v is the velocity vector and a is the acceleration vector (2nd derivative of r, and the 1st derivative of v)
 one year ago

Best_Mathematician Group TitleBest ResponseYou've already chosen the best response.0
(tsint)i = (1cost)i = (sint)i (1cost)j = (sint)j = (cost)j f(x) f'(x) f''(x)
 one year ago

Best_Mathematician Group TitleBest ResponseYou've already chosen the best response.0
now??
 one year ago

phi Group TitleBest ResponseYou've already chosen the best response.1
r= (tsin t) i + (1cos t) j v= dr/dt = (1cos t) i + sin t j or v= < (1cos t, sin t> the magnitude of v is found by doing the dot product v^2 = v dot v and v = sqrt( v dot v)
 one year ago

Best_Mathematician Group TitleBest ResponseYou've already chosen the best response.0
what is dot product
 one year ago

phi Group TitleBest ResponseYou've already chosen the best response.1
Khan has videos on vectors. See http://www.khanacademy.org/math/linearalgebra/vectors_and_spaces/dot_cross_products/v/vectordotproductandvectorlength Here is one from the physics playlist http://www.khanacademy.org/science/physics/electricityandmagnetism/v/thedotproduct which might be better. But the dot product is the sum of the product of corresponding elements. In this case < (1cos t, sin t> dot < (1cos t, sin t> = (1cos t)^2 + (sin t)^2 which simplifies to v = 2(1 cos t)
 one year ago

Best_Mathematician Group TitleBest ResponseYou've already chosen the best response.0
ohk got it...so how to get minimum nd maximum values
 one year ago

phi Group TitleBest ResponseYou've already chosen the best response.1
we know cos t has a max of +1 and a min of 1, so v ranges between 2(11) and 2(1  (2)) or 0 and 4
 one year ago

Best_Mathematician Group TitleBest ResponseYou've already chosen the best response.0
agree
 one year ago

phi Group TitleBest ResponseYou've already chosen the best response.1
** 2(1  (1)) or 0 and 4
 one year ago

Best_Mathematician Group TitleBest ResponseYou've already chosen the best response.0
plz carry on
 one year ago

phi Group TitleBest ResponseYou've already chosen the best response.1
a= < sin t , cos t> can you find its dot product (that gives you a^2 )
 one year ago

Best_Mathematician Group TitleBest ResponseYou've already chosen the best response.0
yes it is 1
 one year ago

Best_Mathematician Group TitleBest ResponseYou've already chosen the best response.0
sin^2t+cos^2t = 1
 one year ago

Best_Mathematician Group TitleBest ResponseYou've already chosen the best response.0
1^2 = 1
 one year ago

Best_Mathematician Group TitleBest ResponseYou've already chosen the best response.0
am i on track?
 one year ago

Best_Mathematician Group TitleBest ResponseYou've already chosen the best response.0
ok so min and max for velocity is 0 and 4 repectively and min and max for acceleration is 1 and 1...correct?
 one year ago

phi Group TitleBest ResponseYou've already chosen the best response.1
the magnitude of the acceleration is always 1, but its direction is changing.
 one year ago

Best_Mathematician Group TitleBest ResponseYou've already chosen the best response.0
oh ya but we do not need to care about direction...right?
 one year ago

phi Group TitleBest ResponseYou've already chosen the best response.1
you might care if you were trying to analyze what is going on... but you don't need the direction if all you care about is the magnitude.
 one year ago

Best_Mathematician Group TitleBest ResponseYou've already chosen the best response.0
ok so how to do rest of the part
 one year ago

phi Group TitleBest ResponseYou've already chosen the best response.1
I am not sure what they want for a plot... for the smaller hoop, make the frequency twice as fast. that means in sin t and cos t replace t with 2t this will make the hoop spin twice as fast.
 one year ago

Best_Mathematician Group TitleBest ResponseYou've already chosen the best response.0
ok so what is the vector function that models the behavior
 one year ago
See more questions >>>
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.