Answer
See answers.
Work Step by Step
a. The two bicycles have the same velocity when their instantaneous slopes on the position versus time graphs are the same. This occurs once, about halfway between the intersection points.
b. Bicycle A has the larger acceleration, because its graph is concave up, meaning it has a positive acceleration. Bicycle B is not accelerating; its graph has a constant slope.
c. The bicycles are passing each other at the 2 times when the graphs cross: they have the same position at those time. The graph with the steeper positive slope is the faster bicycle.
At the first time, bicycle B passes bicycle A. At the second time, it’s the other way around.
d. Bicycle B has the larger instantaneous velocity from the very beginning until the time when both graphs have the same slope. After that, bicycle A has the larger instantaneous velocity.
e. They have the same average velocity. Connect the starting point to the ending point for each graph. The slope of such a line is the average velocity. Both lines have the same slope.
