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Suppose that the position vector for a particle is given as a function of time by...

Suppose that the position vector for a particle is given as a function of time by vector r (t) = x(t)î + y(t)ĵ, with x(t) = at + b and y(t) = ct2 + d, where a = 1.90 m/s, b = 1.10 m, c = 0.128 m/s2, and d = 1.12 m.

(a) Calculate the average velocity during the time interval from t = 2.05 s to t = 3.75 s. vector v = m/s

(b) Determine the velocity at t = 2.05 s. vector v = m/s

(C) Determine the speed at t = 2.05 s.

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