A particle moves along a straight line with velocity meters per second for
MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives
Problem
A particle moves along a straight line with velocity v(t)=t3−6t2+9t meters per second for 0≤t≤4. Identify each time in this interval when the particle is at rest, and for each such time state whether the particle changes direction there. Justify your classification using the behavior of v(t) near those times.