A rabbit runs in a garden such that the x- and y-components of its displacement as functions of time are given by x(t) = -0.45t2 - 6.5t + 25 and y(t) = 0.35t2 + 8.3f + 34. (Both x and y are in meters and t is in seconds.)
a) Calculate the rabbits position (magnitude and direction) at t = 10.0 s.
b) Calculate the rabbits velocity at t = 10.0 s.
c) Determine the acceleration vector at t = 10.0 s.