An object is moving along a number line and its position in time is determined by a cubic function
s(t) where time, t, is in seconds and position, s, is in
metres. The graph of s(l) is given below.
14 (8 points)
Use the graph of position function, s(), from the
previous question to sketch the graphs of the
corresponding velocity and acceleration functions.
24
16
16
8
-16
a. During what time interval(s) the object is moving
in the negative direction of the number line? Justify
your answer
Taro
16
b. At what time is the object momentarily at rest
(motionless)? Justify your answer.
8
c. During what time intervals is the velocity of the
object negative? Justify your answer.
d. During what time intervals is the velocity of the
object increasing, i. e., the object is accelerating?
Justify your answer.