A particle moves along a line with velocity

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

v(t)

, differentiable for all real

t

. Which condition must be satisfied at a time

t=c

for the particle to reverse its direction of motion at

t=c

? (a)

v(c)=0

(b)

v(c)=0

and

a(c)=0

(c)

v(c)=0

and

v(t)

changes sign at

t=c

(d)

s(c)=0

and

v(c)=0