Mathematics

Mathematics

Problem

A particle moves along a straight line with velocity v(t)=4t−6v(t)=4t-6 meters per second for t≥0t\ge 0. An antiderivative of vv is s(t)=2t2−6t+Cs(t)=2t^{2}-6t+C, where CC is a constant. Which of the following best describes the quantity represented by CC? a) The maximum position attained by the particle for t≥0t\ge 0 b) The displacement of the particle between t=0t=0 and t=1t=1 second c) The particle’s position at t=0t=0 seconds d) The total distance traveled by the particle for t≥0t\ge 0

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