Find the velocity and speed. Find any times which the particle stops:
x=cos3t y=sin5t

Question

Find the velocity and speed. Find any times which the particle stops:
x=cos3t    y=sin5t

anonymous · Answer

http://www.wolframalpha.com/input/?i=x%3Dcos%283t%29+y%3Dsin%285t%29

anonymous · Answer

sorry that is of no help

anonymous · Answer

ok sorry that it didn't. Since i didn't help i will give you a metal.

anonymous · Answer

http://answers.yahoo.com/question/index?qid=20110305092144AACFwOT

cwrw238 · Answer

x = cos3t
dx/dt = -3sin3t
dy/dt =  5cos5t

dy/dx =  -5cos5t/3sin3t

velocity at time t = -5cos5t/3sin3t
when particle stops
-5cos5t/3sin3t = 0

anonymous · Answer

umm what wld the speed be?

cwrw238 · Answer

not sure of that

experimentx · Answer

dy/dt is your vy and dx/dt is your vx
your speed will be sqrt(vx^2+vy^2)

anonymous · Answer

ya i know that but i am not sure how to simplify it

cwrw238 · Answer

yes experiment - i forgot that bit

experimentx · Answer

your speed is going to function of time, try to simplify as much as possible.

experimentx · Answer

$$\tan\theta=dy/dx$$
that will give your the direction, and theta will also be the function of time.

anonymous · Answer

ok thanks