Runner A’s position is measured in meters with

MATHEMATICS · Subjective · A Level · Mathematics · Kinematics · Kinematics

Problem

Runner A’s position xA(t)x_A(t) is measured in meters with xA′(10)=4.5x_A'(10)=4.5. Runner B’s position xB(t)x_B(t) is measured in kilometers with xB′(10)=0.005x_B'(10)=0.005. Both derivatives are taken at t=10t=10 minutes. Determine which runner is moving faster in meters per minute and provide that speed with units.

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