For any differentiable position vector on the interval

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

For any differentiable position vector r(t)\mathbf r(t) on the interval [a,b][a,b], which statement must be true? (a) Average speed always equals the magnitude of the average velocity. (b) Average speed is always less than or equal to the magnitude of the average velocity. (c) Average speed is always greater than or equal to the magnitude of the average velocity. (d) There is no deterministic relationship between average speed and the magnitude of the average velocity.

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