A particle moves along a line so that its position (in meters) is a linear function…

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

Problem

A particle moves along a line so that its position

s

(in meters) is a linear function of time

t

(in seconds) with slope

3

0\le t\le4

, is constant on

4\le t\le6

, and has slope

-2

6\le t\le9

. Describe the sign of the particle’s velocity on each of the three subintervals.