Suppose that the position vector for a particle is given as a function of time by vector r (t) = x(t)i hat bold + y(t)j hat bold, with x(t) = at + b and y(t) = ct2 + d, where a = 1.80 m/s, b = 1.20 m, c = 0.130 m/s2, and d = 1.08 m.
(a) Calculate the average velocity during the time interval from t = 1.85 s to t = 4.05 s.