The velocity of a car (in m/s) is continuous for and satisfies and

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

The velocity

v(t)

of a car (in m/s) is continuous for

0\le t\le 8

and satisfies

v(0)=6

and

v(8)=-3

. Determine whether there is a time

c

(0,8)

at which

v(c)=0

, and provide a brief justification.