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AP Calculus AB/BC
Unit 9 – Parametric Equations, Polar Coordinates, and Vector–Valued Functions (BC Only)
Topic 9.6
A particle moves along a curve defined by the vector-valued function r(t) = ⟨cos(t), sin(t), 2t⟩. What is the acceleration vector of the particle at time t = π/4?
⟨-√2/2, -√2/2, 0⟩
⟨√2/2, √2/2, 0⟩
⟨-1/√2, 1/√2, 2⟩
⟨1/√2, 1/√2, 2⟩
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AP Calculus AB/BC - 9.6 Solving Motion Problems Using Parametric and Vector-Valued Functions
Key terms
Acceleration Vector
π/4
Vector-valued function
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