A weather balloon is drifting north at 4 m/s and is 300 m north of a ground station…

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

Problem

A weather balloon is drifting north at 4 m/s and is 300 m north of a ground station at time t = 0. At the same instant, a truck is 400 m east of the station and moving east at 10 m/s. Determine the rate (in m/s) at which the straight-line distance between the balloon and the truck is changing exactly 30 seconds after t = 0.

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