The graph below represents the velocity of a bicyclist X is

The graph below represents the velocity of a bicyclist. X is given in hours and Y is given in miles per hour. Suppose she started riding from her house. How far from her house was she after three hours. Find the total distance she rode in three hours. Find the farthest she was from her house. Give an interval where her acceleration was negative but her velocity was positive.

Solution

a ) area under the graph gives displacement of the girl = 15miles b) 17.5 miles (in +ve direction) + 2.5 miles (in -ve direction) = 20 miles c) she was farthest at 17.5 miles d) at 2 to 2.5 hr