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Acceleration vector-valued function

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AP Calculus AB/BC

Definition

An acceleration vector-valued function describes how quickly an object's velocity changes over time. It includes both magnitude and direction.

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Practice Questions (5)

A particle's position as a function of time (t) is given by the vector-valued function r(t) = <2t^2 + 3t, 4t^2 - 2t>. Find the acceleration vector-valued function, a(t), of the particle.
A particle's position as a function of time (t) is given by the vector-valued function r(t) = <5t^3 - 2t, 6t^2 + 4t>. Find the acceleration vector-valued function, a(t), of the particle.
A particle's position as a function of time (t) is given by the vector-valued function r(t) = <2t^3 + 5t, t^2 + 3t>. Find the acceleration vector-valued function, a(t), of the particle.
A particle's position as a function of time (t) is given by the vector-valued function r(t) = <t^2 - 4t, 3t^3 + 2t>. Find the acceleration vector-valued function, a(t), of the particle.
A particle's position as a function of time (t) is given by the vector-valued function r(t) = <t^3 + 2t, 6t^2 - 3t>. Find the acceleration vector-valued function, a(t), of the particle.

Additional resources (1)

AP Calculus AB/BC - Unit 9 Overview: Parametric Equations, Polar Coordinates, and Vector-Valued Functions

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