Consider the graph shown in the figure, which gives the velocity of an object moving along a line. Assume time is measured in hours and distance is measured in miles. The areas of three regions bounded by the velocity curve and the t-axis are also given.

a. On what intervals is the object moving in the positive direction?

b. What is the displacement of the object over the interval [0, 3]?

c. What is the total distance traveled by the object over the interval [1, 5]?

d. What is the displacement of the object over the interval 30, 54?

e. Describe the position of the object relative to its initial  position after 5 hours.

Transcribed Image Text:

12 10 1 2 4 5 16