A particle moves in the plane with position vector

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Kinematics · Kinematics

Problem

A particle moves in the plane with position vector r(t)=⟨x(t),y(t)⟩\mathbf r(t)=\langle x(t),y(t)\rangle. Which of the following expressions represents its velocity vector v(t)\mathbf v(t)? (a) ⟨x′′(t),y′′(t)⟩\langle x''(t),y''(t)\rangle (b) ⟨x(t),y(t)⟩\langle x(t),y(t)\rangle (c) ⟨x′(t),y′(t)⟩\langle x'(t),y'(t)\rangle (d) ⟨∫0tx′(u) du ,  ∫0ty′(u) du⟩\Bigl\langle\displaystyle\int_{0}^{t}x'(u)\,du\,,\;\displaystyle\int_{0}^{t}y'(u)\,du\Bigr\rangle

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