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

Suppose the position vector for a particle is given as a function of time by 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 = 1.50 m, c = 0.124 m/s2, and d = 1.08 m.

(a) Calculate the average velocity during the time interval from t = 1.85 s to t = 4.05 s.

(b) Determine the velocity at t = 1.85 s.

Determine the speed at t = 1.85 s.

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