Solution Found!
Figure 2—50 shows the position vs. time graph for two
Chapter 25, Problem 85GP(choose chapter or problem)
Figure shows the position vs. time graph for two bicycles,
and
.
Is there any instant at which the two bicycles have the same velocity?
Which bicycle has the larger acceleration? (c) At which instant(s) are the bicycles passing each other? Which bicycle is passing the other?
Which bicycle has the highest instantaneous velocity? (e) Which bicycle has the higher average velocity?
Questions & Answers
QUESTION:
Figure shows the position vs. time graph for two bicycles,
and
.
Is there any instant at which the two bicycles have the same velocity?
Which bicycle has the larger acceleration? (c) At which instant(s) are the bicycles passing each other? Which bicycle is passing the other?
Which bicycle has the highest instantaneous velocity? (e) Which bicycle has the higher average velocity?
ANSWER:
Step 1 of 2
a) The bicycle A is making accelerated motion. The slope of the secant line as in the figure gives the average velocity of the bicycle between points K and L.
The slope of the graph of bicycle B is constant. Its velocity is constant.
The graph of bicycle A is the same line as the secant of the B so slopes are the same.
The slope of the tangent line to the graph at point P in the middle of the time from tk to tL gives the average speed of the bicycle A.
