Velocity Vs Time Conceptual Question

In summary, the problem involves two cars traveling on parallel lanes on a two-lane road. The cars' motions are represented by a velocity versus time graph. The student has 5 attempts to answer a question before it is counted wrong, and is on their last attempt. The graph shows points A through E, and after each attempt, the feedback stated that the location of the cars is unknown and all that is known is their velocities at points A, B, C, and E. The cars have the same velocity at point D, car 1 stops at point B, and car 2 stops at point E. When thinking of the cars as traveling on an east-west road, car 1 is traveling west and slowing down until it
  • #1
neon612
5
0
This is homework help, but I think all I need to learn is how to read a VT graph properly. My professor uses MasteringPhysics.com and this is one of the questions from the site. The way it works is: the student has 5 attempts to answer a question before it is counted wrong and I'm down to my last attempt. I'm hoping I've already figured out the right answer and I just need to make sure that what I think is the right answer actually is.

After each attempt it gave me some feedback saying "The location of the cars are unknown at this time. All that is known is their velocities." And that was for points A, B, C, and E.

Homework Statement


Two cars travel on the parallel lanes of a two lane road. The cars' motions are represented by the velocity versus time graph. Answer each of the questions with reference to the lettered times (A through E) marked on the graph. (graph attached)

http://img703.imageshack.us/img703/633/1011351.jpg

At which of the lettered times, if any, do the two cars pass?

The Attempt at a Solution


From my textbook and searching the net I've been able to figure out:

The two cars have the same velocity at point D
Car 1 stops at point B
Car 2 stops at point E

If I think about it as a east-west road, I come up with:
Car 1 is traveling west and slowing down until it gets to point B. Then it accelerates, heading east.

Car 2 is traveling west and slowing down until half a graph square before A. Then it speeds up heading east until point C, when it starts slowing down until point E. It stops at point E, and speeds up heading west.

I know the area under the curve will tell me the displacement. But how does that work if I'm not given any numbers to work with?

So, I guess the answer I keep coming up with is that the problem doesn't have enough information to figure an exact position. (To put it in the wording from Mastering Physics "Cannot be Determined")
 
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  • #2
Ummm ... where's the graph?
 
  • #3
Sorry, I thought I had attached it to the opening post.
 
  • #4
Actually for answering this, i need to know do the 2 cars start from same point or matbe initial distance b/w them
 
  • #5
cupid.callin said:
Actually for answering this, i need to know do the 2 cars start from same point or matbe initial distance b/w them

Actually, this is all the information I am given to solve the problem. There are other parts to answer (but I've already answered them):

When does car 1 stop? -> At B
when does car 2 stop? -> At E
And when do they have the same velocity -> at D
 

1. What is velocity vs time?

Velocity vs time is a graphical representation of an object's velocity over a period of time. It shows the relationship between an object's velocity and the time it takes to travel.

2. How is velocity vs time different from position vs time?

Velocity vs time shows how an object's velocity changes over time, while position vs time shows how an object's position changes over time. Velocity is the rate of change of position, so these two graphs are closely related.

3. How can you determine acceleration from a velocity vs time graph?

Acceleration is the rate of change of velocity. On a velocity vs time graph, the slope of the line represents the object's acceleration. A steeper slope indicates a higher acceleration, while a flatter slope indicates a lower acceleration.

4. How does a straight line on a velocity vs time graph represent constant acceleration?

If the velocity vs time graph is a straight line, it means that the acceleration of the object is constant. This is because the slope of a straight line is constant, indicating a constant rate of change of velocity.

5. Can you determine an object's displacement from a velocity vs time graph?

Yes, displacement can be determined from a velocity vs time graph by calculating the area under the curve. The displacement is equal to the area between the graph and the time axis. This is because displacement is the integral of velocity over time.

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