Question

The velocity of a box traveling along the axis is shown as a function of time in the figure below. If the box is at x = 0 when t = 0, answer the following. A coordinate plane has a horizontal axis labeled t (s) and a vertical axis labeled vx (m/s). There are five connected line segments. The first goes from (0,-8) to (3,-8); the second from (3,-8) to (5,0); the third from (5,0) to (8,12); the fourth from (8,12) to (14,12); and the fifth from (14,12) to (18,0). (a) What is the object's acceleration (in m/s2) between 0 and 3.00 s? (Indicate the direction with the sign of your answer.) . m/s2 (b) What is the object's acceleration (in m/s2) between 3.00 s and 8.00 s? (Indicate the direction with the sign of your answer.) m/s2 (c) What is the object's acceleration (in m/s2) between 14.0 s and 18.0 s? (Indicate the direction with the sign of your answer.) (d) At what time(s) (in s) is the object moving with the lowest speed? (If there is more than one time, enter the times from smallest to largest. If there is only one time, enter 0 in the second box.) (e) At what time (in s) is the object farthest from x = 0? (f) What is the final position x (in m) of the object at t = 18 s? (g) Through what total distance (in m) has the object moved between t = 0 and t = 18 s?

          The velocity of a box traveling along the axis is shown as a
function of time in the figure below. If the box is at x = 0 when t
= 0, answer the following.
A coordinate plane has a horizontal axis labeled t (s) and a
vertical axis labeled vx (m/s). There are five connected line
segments. The first goes from (0,-8) to (3,-8); the second from
(3,-8) to (5,0); the third from (5,0) to (8,12); the fourth from
(8,12) to (14,12); and the fifth from (14,12) to (18,0).
(a) What is the object's acceleration (in m/s2) between 0 and
3.00 s? (Indicate the direction with the sign of your answer.) .
m/s2
(b) What is the object's acceleration (in m/s2) between 3.00 s
and 8.00 s? (Indicate the direction with the sign of your answer.)
m/s2
(c) What is the object's acceleration (in m/s2) between 14.0 s
and 18.0 s? (Indicate the direction with the sign of your
answer.)
 (d) At what time(s) (in s) is the object moving with the
lowest speed? (If there is more than one time, enter the times from
smallest to largest. If there is only one time, enter 0 in the
second box.)
(e) At what time (in s) is the object farthest from x = 0?
(f) What is the final position x (in m) of the object at t = 18
s?
(g) Through what total distance (in m) has the object moved
between t = 0 and t = 18 s?

Added by Ines T.

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