Mathematics

Mathematics

Problem

A particle moves on a straight line for 0≤t≤70\le t\le 7 seconds. Its velocity satisfies v(t)>0v(t)>0 for 0<t<40<t<4 and v(t)<0v(t)<0 for 4<t<74<t<7. The net displacement over the whole interval is 44 meters. Which statement about the total distance traveled on 0≤t≤70\le t\le 7 is true? a) It equals 4 m4\text{ m}. b) It is greater than 4 m4\text{ m}. c) It is less than 4 m4\text{ m}. d) It cannot be determined from the information given.

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