A particle moves along a straight line with velocity
MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
A particle moves along a straight line with velocity v(t). The velocity is positive for 0<t<3, negative for 3<t<7, and positive again for 7<t<9. Without performing any calculations, decide which quantity is larger on 0≤t≤9: the particle’s net displacement or its total distance traveled. Briefly justify your choice.