Q3: 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) = ct^2 + d, where a =m/s, b = m, c = 0.125 m/s^2, and d = m.
(a) Calculate the aver- age velocity during the time interval from t = s to t = s.
(b) Determine the velocity and the speed at t = s.