Suppose the Instantaneous Velocity V(t) of a Moving Particle Is $\int _ { 2 } ^ { 5 } | 2 t - 6 | d t$

Multiple Choice

Suppose the instantaneous velocity V(t) of a moving particle is V(t) = t²- 6t + 3 meters per second. Which expression below represents the total distance traveled by the particle between 2 seconds and 5 seconds?

A) $\int _ { 2 } ^ { 5 } | 2 t - 6 | d t$
B) $\int _ { 2 } ^ { 5 } \left( t ^ { 2 } - 6 t + 3 \right) d t$
C) $V ( 5 ) - V ( 2 )$
D) $\int _ { 2 } ^ { 5 } ( 2 t - 6 ) d t$
E) $\int _ { 2 } ^ { 5 } \left| t ^ { 2 } - 6 t + 3 \right| d t$