# Quick Question (Position vs Time Graphs) True/False (Due soon)

• FAJISTE
In summary, the average velocity is constant in Figures C and D, while it is positive in Figure E. The object is not at rest all of the time in Figure F, and the net displacement is negative in Figure E. The average velocity is non-zero in Figure F.
FAJISTE

## Homework Statement

True Or False

In the position vs. time graphs above, all times are in seconds and all positions are in meters.

Which of the following statements are true about the graphs shown above? Hint: keep in mind that velocity is a vector and speed is a scalar.
The average velocity is constant in Figures C and D
The average velocity is positive in Figure E
The object is at rest all of the time in Figure F
The net displacement is negative in Figure E
The average velocity is non-zero in Figure F

## The Attempt at a Solution

I'm guessing

1.True, derivative of the graphs give you a positive constant
2. False, slope is downwards
3. False, moves up then down
4. Don't know
5. Don't know

Last edited:
i can't see any graph in the link you gave...

heh sorry

1) the only way it makes sense to me is to compare the velocities in C and D, and they are not same (probably I'm messing up with the terminologies, a second opinion would help)

2)false

3)false

4)what is the definition of displacement? is there any difference in the initial and final position of the object?

5)what is the definition of average velocity? The answer would follow once you get the above part.

Thanks, got it now

it was

true
false
false
true
false

## 1. What is a position vs time graph?

A position vs time graph is a visual representation of an object's position (y-axis) over a period of time (x-axis). It is commonly used to track the motion of an object and can provide information about its speed and direction.

## 2. How do you interpret a position vs time graph?

To interpret a position vs time graph, you must analyze the slope of the line. A positive slope indicates that the object is moving in the positive direction, while a negative slope indicates movement in the negative direction. The steeper the slope, the faster the object is moving. A horizontal line indicates that the object is not moving.

## 3. Can a position vs time graph have a curved line?

Yes, a position vs time graph can have a curved line. This indicates that the object is accelerating, as the slope is constantly changing. The direction of the curve (concave up or concave down) can also provide information about the object's acceleration.

## 4. Is it possible for an object to have a constant speed but changing position?

Yes, it is possible for an object to have a constant speed but changing position. This would be represented by a straight, diagonal line on a position vs time graph. This indicates that the object is moving at a steady speed in one direction.

## 5. How can I use a position vs time graph to determine an object's displacement?

You can use a position vs time graph to determine an object's displacement by finding the area under the curve. This can be done by dividing the graph into smaller shapes (rectangles or triangles) and calculating their individual areas, then adding them together. The resulting value will be the object's displacement over the given time period.

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