Motion Diagrams: Identifying True and False Statements

In summary, the figures above show the motion of a ball from left to right, with each circle representing its position at one-second intervals. The velocity of the ball in pictures B, C, and E is increasing, while it is constant in picture D and decreasing in picture A. The acceleration of the ball is zero in pictures B and C, positive in picture F, and irrelevant in picture A.
  • #1
FAJISTE
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Homework Statement



The drawings indicate the motion of a ball (moving from left to right), subject to one or more forces on various surfaces. Each circle represents the position of the ball at succeeding instants of time. The time interval between each circle is one second.

http://img239.imageshack.us/img239/87/kinma1rs9.gif

Which of the following statements are true about the motions depicted in the figures above? (Give ALL correct answers: B, AC, BCD.., or None )

The velocity of the ball in pictures C and F is decreasing
The velocity of the ball in pictures B, C and F is constant
The acceleration of the ball in pictures B and C is zero
The acceleration of the ball in pictures A and F is positive
The velocity of the ball in pictures B, C and E is increasing

Homework Equations





The Attempt at a Solution



1. False, C looks like its moving faster.
2. False, can't be constant, doesn't look the same at all.
3. False, C is clearly accelerating
4. False, A is negative
5. False, 2 are constant


Maybe I'm doing something wrong here? BEcause this isn't right.
 
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  • #2
bump! help!
 
  • #3
No, it isn't right. The trick in this is knowing that the shots of the positions were always taken at the same time interval. Because of this, you can tell that the velocity of ball D is increasing, because in the direction of motion, it has traveled farther in each subsequent picture. If the distance is decreasing between subsequent photos, the velocity is decreasing, and if it is constant, the velocity is constant. Also, make sure to separate velocity and direction - if the acceleration is positive, all it requires is that the velocity be increasing - it is irrelevant whether it is going up or down a hill.
 

1. Is a motion diagram a visual representation of an object's motion?

Yes, a motion diagram is a visual representation of an object's motion at different points in time.

2. Are motion diagrams useful for studying the motion of objects?

Yes, motion diagrams are useful for studying the motion of objects because they provide a clear and visual representation of an object's position and velocity at different points in time.

3. Is the distance between the arrows in a motion diagram proportional to the object's velocity?

Yes, the distance between the arrows in a motion diagram is proportional to the object's velocity. A larger distance between arrows indicates a greater velocity.

4. Can a motion diagram show the acceleration of an object?

Yes, a motion diagram can show the acceleration of an object by showing the change in velocity between each arrow. A larger change in velocity between arrows indicates a greater acceleration.

5. Is a motion diagram the same as a position-time graph?

No, a motion diagram and a position-time graph are not the same. A motion diagram shows the position and velocity of an object at different points in time, while a position-time graph shows the change in position of an object over time.

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