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 = 2.00 m/s, b = 1.30 m, c = 0.134 m/s2, and d = 1.04 m.

(a) Calculate the average velocity during the time interval from t = 2.10 s to t = 4.15 s.
vector v = m/s
(b) Determine the velocity at t = 2.10 s.
vector v =
m/s
Determine the speed at t = 2.10 s.