Suppose that the position vector for a particle is given as a function of time by vector r (t) = x(t)i hat + y(t)j hat, with x(t) = at + b and y(t) = ct2 + d, where a = 1.40 m/s, b = 1.50 m, c = 0.121 m/s2, and d = 1.10 m.
(a) Calculate the average velocity during the time interval from t = 2.05 s to t = 4.15 s.
(b) Determine the velocity at t = 2.05 s.
(c) Determine the speed at t = 2.05 s.

Question

Suppose that the position vector for a particle is given as a function of time by vector r (t) = x(t)i hat + y(t)j hat, with x(t) = at + b and y(t) = ct2 + d, where a = 1.40 m/s, b = 1.50 m, c = 0.121 m/s2, and d = 1.10 m.  
(a) Calculate the average velocity during the time interval from t = 2.05 s to t = 4.15 s.
(b) Determine the velocity at t = 2.05 s.
(c) Determine the speed at t = 2.05 s.