Mathematics

Mathematics

Problem

A rate of change function is given by r(t)=(t−2)(6−t)r(t)=(t-2)(6-t) for 0≤t≤60\le t\le6, where tt is measured in seconds and r(t)r(t) in meters per second. What is the total distance (ignoring direction) traveled by the object during this time interval? a) 00 meters b) 1283\dfrac{128}{3} meters c) 643\dfrac{64}{3} meters d) 323\dfrac{32}{3} meters

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