MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives
Problem
A particle moves along a straight line. Its velocity satisfies v(t)=0 at t=3 s, and the sign of v(t) is positive for t<3 and negative for t>3. Which statement best describes the particle’s motion at t=3 s?
(a) The particle slows to a stop at t=3 s but does not reverse direction because its speed remains non-negative.
(b) The particle is momentarily at rest and reverses direction, moving from rightward to leftward.
(c) The particle is momentarily at rest and reverses direction, moving from leftward to rightward.
(d) The particle is at rest at t=3 s and then continues moving rightward, since a negative velocity only means it is decelerating.