Suppose the position vector for a particle is given as a function of time by r→(t) = x(t)i^ + y(t)j^, with x(t) = at + b and y(t) = ct2 + d, where a = 1.80 m/s, b = 1.40 m, c = 0.131 m/s2, and d = 1.14 m. (a) Calculate the average velocity during the time interval from t = 2.25 s to t = 3.80 s. (b) Determine the velocity at t = 2.25 s. Determine the speed at t = 2.25 s. m/s