The velocity of a particle moving along the –axis is meters per second for

MATHEMATICS · Subjective · A Level · Mathematics · Integration · Integration

Problem

The velocity of a particle moving along the xx–axis is vx(t)=e−t+2v_x(t)=e^{-t}+2 meters per second for t≥0t\ge 0. If x(0)=5x(0)=5 meters, calculate the particle’s position x(ln⁡3)x(\ln 3) to three decimal places.

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