A 12-ft ladder rests against a vertical wall

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A 12-ft ladder rests against a vertical wall. The base slides directly away from the wall at a constant rate of 1 ft/s. Explain whether the magnitude of the vertical speed of the top of the ladder increases, decreases, or remains constant as the ladder becomes more horizontal, and justify your conclusion in one or two sentences.

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