Posted by Anonymous on .
Uniform Circular Motion:
Suppose that a particle's position is given by the following expression:
r(t) = Rcos(omega*t)i + Rsin(omega*t)j
1. Choose the answer that best completes the following sentence:
The particle's motion at t=0 can be described by ____________.
a. an ellipse starting at time t=0 on the positive x axis
b. an ellipse starting at time t=0 on the positive y axis
c. a circle starting at time t=0 on the positive x axis
d. a circle starting at time t=0 on the positive y axis
2. When does the particle first cross the negative x axis?
Express your answer in terms of some or all of the variables omega, R, and pi.
3. Find the particle's velocity as a function of time.
Express your answer using unit vectors (e.g., A i+ B j, where A and B are functions of omega, R, t, and pi).
4. Find the speed of the particle at time t.
Express your answer in terms of some or all of the variables omega, R, and pi.

Physics 
bobpursley,
I will be happy to critique your thoughts. One comment: What is this x,y axis talk, the equation uses i,j axis.

Physics 
Anonymous,
it is the function r(t).

Physics 
eva,
2. pi/w
3. wRsin(wt)ihat +wRcos(wt)jhat
4.R*w 
Physics 
eva,
1. a circle starting at time on the positive x axis

Physics 
eva,
1.
circle on x axis