A particle moves along a line with velocity satisfying for ,

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A particle moves along a line with velocity satisfying

v(t)>0

for

0<t<3

v(3)=0

, and

v(t)<0

for

3<t<5

. Explain whether the particle changes direction at

t=3

and why.