Mathematics

Mathematics

Problem

Which of the following statements best describes the relationship between the sign of s′(t)s'(t) and the motion of a particle whose position is s(t)s(t)? a) If s′(t)<0s'(t)<0, the particle is decelerating at that instant. b) If s′(t)=0s'(t)=0, the particle must change direction at that instant. c) If s′(t)>0s'(t)>0, the particle is moving in the positive direction at that instant. d) If s′(t)=0s'(t)=0, the particle’s acceleration is zero at that instant.

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