Two carts start from the same corner of a warehouse and move along perpendicular aisles

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Two carts start from the same corner of a warehouse and move along perpendicular aisles. A cable joins the carts, and the length of the cable is increasing at 0.50 m/s. Cart A travels east at 0.30 m/s. When the cable is 10 m long and Cart A is 6 m east of the corner, determine the speed of Cart B moving north. State both magnitude and direction (toward or away from the corner).

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