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R(t)

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AP Calculus AB/BC

Definition

The position vector that describes an object's location in space as a function of time.

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Subjects (6)

Practice Questions (3)

A particle's position as a function of time (t) is given by the vector-valued function r(t) = <3t^3 - 4t, t^2 + 2t>. At what time(s) is the particle moving in the direction of increasing x?
A particle's position as a function of time (t) is given by the vector-valued function r(t) = <3t^2 - t, 4t^3 + 2t>. At what time(s) is the particle moving in the direction of increasing y?
If a particle’s position vector is r(t) = ⟨cos(t), sin(t)⟩, what is its velocity vector?

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