A particle moves along a line with velocity function (meters per second) defined for

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A particle moves along a line with velocity function v(t)v(t) (meters per second) defined for 0≤t≤80\le t\le 8. If ∫08v(t) dt=0\displaystyle \int_{0}^{8} v(t)\,dt = 0, determine the particle’s position at t=8t=8 relative to its position at t=0t=0.

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