An object moves with velocity meters per second for

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

Problem

An object moves with velocity v(t)=sin⁡t+2v(t)=\sin t+2 meters per second for 0≤t≤2π0\le t\le 2\pi. Given that its position at t=πt=\pi seconds is 77 meters, determine its position at t=2πt=2\pi seconds.

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