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Vector-Valued Functions
Position arrow, velocity arrow, acceleration · BC Calculus · greeting
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r(t) = ⟨x(t), y(t)⟩
position vector
tip traces curve
r′ = velocity
|r′| = speed
r″ = acceleration
Speed is scalar — velocity is vector
Owl:
We'll differentiate component-wise, compare speed with velocity, and read tangent direction from r′.
You:
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