A drone flies horizontally due east at 5 m/s while simultaneously ascending at 3 m/s

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A drone flies horizontally due east at 5 m/s while simultaneously ascending at 3 m/s. At the instant the drone is 12 m east of its take-off point and 16 m above the ground, what is the rate of change of its straight-line distance from the take-off point? (a) 8.0 m/s8.0\text{ m/s} (b) 5.8 m/s5.8\text{ m/s} (c) 5.4 m/s5.4\text{ m/s} (d) 4.8 m/s4.8\text{ m/s}

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