Consider the two-dimensional position vector
where b is a positive
- Determine the trajectory curve of . Be
specific.(i.e. An ellipse centered at the origin intersecting its
major axis at (-5,0) and (5,0) and intersecting its minor axis at
(0,3) and (0,-3)). Be sure to explain how you determined the
trajectory curve from the given position vector.
- Show that the speed is constant and explain why this is so. Then
find a value of the constant b that gives a speed of 18.
- Show that is perpendicular to .