Vector-Valued Functions
Position arrow, velocity arrow, acceleration · BC Calculus · greeting
Rapid fire modeInterviewLearn
00:00End interview
r(t) = ⟨x(t), y(t)⟩position vectortip traces curve▶r′ = velocity|r′| = speedr″ = acceleration▶Speed is scalar — velocity is vector
Owl: We'll differentiate component-wise, compare speed with velocity, and read tangent direction from r′.
You: —