Thank you in advance for your quick help. Qc. Suppose the position of 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 m/s, b = 1 m, c = 0.225 m/s2 , and d = 1 m. (a) Calculate the average velocity during the time interval from t = 2 s to t = 5 s. (b) Determine the velocity and the speed at t = 3 s.

Thank you in advance for your quick help. Qc. Suppose the position of 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 m/s, b = 1 m, c = 0.225 m/s2 , and d = 1 m. (a) Calculate the average velocity during the time interval from t = 2 s to t = 5 s. (b) Determine the velocity and the speed at t = 3 s.