Two drones depart from the same point at time

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Two drones depart from the same point at time t=0t = 0. For tt in seconds, Drone 1 moves along the x-axis with velocity v1(t)=2t+4 m/sv_1(t) = 2t + 4\,\text{m/s}, and Drone 2 moves along the y-axis with velocity v2(t)=3t+1 m/sv_2(t) = 3t + 1\,\text{m/s}. Find the rate (in m/s\text{m/s}) at which the distance between the drones is changing when t=2 st = 2\,\text{s}.

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