Question: Consider a particle that is moving on the path r 1 (t) = x(t)i + y(t)j + z(t)k. (a) Discuss any changes in the position,

Consider a particle that is moving on the path r₁(t) = x(t)i + y(t)j + z(t)k.

(a) Discuss any changes in the position, velocity, acceleration of the particle when its position is given by the vector-valued function r₂(t) = r₁(2t).

(b) Generalize the results for the vector-valued function
r₃(t) = r₁(ωt).

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