Question

C. 5. 9. 10. 11 Given the rate of change of a quantity and its initial value explain how to find the value of at a future time 1 2 0. 6. What is the result of integrating a population growth rate between times I = a and 1 = b. where b > a? Basic Skills 7. Displacement and distance from velocity Consider the graph shown in the figure, which gives the velocity of an object mov- ing 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 7-axis are also given. 12 11 1 И. 12 10 0 1 2 3 4 5 16 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 (0,5]? e. Describe the position of the object relative to its initial position after 5 hours. Displacement and distance from velocity Consider the velocity function shown below of an object moving along a line. Assume time is measured in seconds and distance is measured in meters. The areas of four regions bounded by the velocity curve and the 1-axis are also given. 8. 14 6 0 3 16 7 8 1 10 20

Please I need help with question #7

Answer 1

tve direction the area is tve => 7. a) The object is moving in the in ostal and 32 +25 when under the velocity time groph ie the displacement is tve. 12-16= -4miles b) Displacement from travelled from tool to tas c) Total distance Sum of 26 miles; d) Diplocomout from to t= 5= Net acoa = (2+10) -16 6 miles; Since the displacement in object moved a dy't of smiles from initial position in the direction: areas irrespective of sign to 5hrs is 6miles, the