The position vector of a cat running on a field is given by: 3t2 – 4t + 2 r(t) y(t) 6t² – 5t where x, y are in meters and t is in seconds. (a) Compute the magnitude and direction of the average velocity in the time interval between t = 0 and t = 3 seconds. (b) Find the magnitude and direction of the acceleration of the cat at t = 2 and at t = 4 seconds

The position vector of a cat running on a field is given by: 3t2 – 4t + 2 r(t) y(t) 6t² – 5t where x, y are in meters and t is in seconds. (a) Compute the magnitude and direction of the average velocity in the time interval between t = 0 and t = 3 seconds. (b) Find the magnitude and direction of the acceleration of the cat at t = 2 and at t = 4 seconds