Consider the graph shown in the figure, which gives the velocity of an object moving along...

Transcribed Image Text:

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. Complete parts (a) through (e). b. What is the displacement of the object over the interval [0,6]? Using the values shown in the graph, the displacement of the object over the interval [0,6] is -4 miles. c. What is the total distance traveled by the object over the interval [2,10]? Using the values shown in the graph, the total distance traveled by the object is 25 miles. d. What is the displacement of the object over the interval [0,10]? Using the values shown in the graph, the displacement of the object over the interval [0,10] is 6 miles. e. Describe the position of the object relative to its initial position after 10 hours. Select the correct choice and, if necessary, fill in the answer box to complete your choice. OA. After 10 hours, the object is OB. After 10 hours, the object is mi in the negative direction from its initial position. mi in the positive direction from its initial position. After 10 hours, the object has returned to its initial position. 11 2 4 15 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. Complete parts (a) through (e). b. What is the displacement of the object over the interval [0,6]? Using the values shown in the graph, the displacement of the object over the interval [0,6] is -4 miles. c. What is the total distance traveled by the object over the interval [2,10]? Using the values shown in the graph, the total distance traveled by the object is 25 miles. d. What is the displacement of the object over the interval [0,10]? Using the values shown in the graph, the displacement of the object over the interval [0,10] is 6 miles. e. Describe the position of the object relative to its initial position after 10 hours. Select the correct choice and, if necessary, fill in the answer box to complete your choice. OA. After 10 hours, the object is OB. After 10 hours, the object is mi in the negative direction from its initial position. mi in the positive direction from its initial position. After 10 hours, the object has returned to its initial position. 11 2 4 15