A particle moves along a straight line with velocity meters per second for seconds

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

Problem

A particle moves along a straight line with velocity v(t)=t2−4t+3v(t)=t^{2}-4t+3 meters per second for 0≤t≤60\le t\le6 seconds. The average value of its position function on the interval [0,6][0,6] is known to be 1010 meters. Determine the particle’s initial position s(0)s(0).

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