Vectors and scalar quantities: Consider an object traveling around the elliptical track. It's location is given by
r(t) = cos3ti + 5sin3tj where t is time.
a. Find the velocity and acceleration.
b. Find the speed and show that the maximum value of the speed is 15 and the minimum is 3. Specify the times at which the speed is maximum and the times that it is minimum for 0 ≤ t ≤ 3π/2.
c. Find the location, velocity and acceleration for the two values of time when the speed is maximum and the two values of time when it is minimum for 0 ≤ t ≤ 2π3? (Problem is not correct if these are written as scalars.)