A particle travels with velocity meters per second for and meters per second for

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

Problem

A particle travels with velocity v(t)=b(4−t)v(t)=b(4-t) meters per second for 0≤t≤40\le t\le 4 and v(t)=b(t−4)v(t)=b(t-4) meters per second for 4<t≤84<t\le 8. The total distance the particle travels on the time interval 0≤t≤80\le t\le 8 is 4848 meters. Determine the value of bb.

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