Motion Diagrams: Identifying True and False Statements

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The discussion centers on analyzing the motion of a ball depicted in a series of diagrams, focusing on the accuracy of various statements regarding its velocity and acceleration. Key points include the clarification that the velocity of the ball is not constant and that it can be determined by the distance between positions in the diagrams. It is emphasized that acceleration can be positive even if the ball is moving downhill, as long as the velocity is increasing. The importance of understanding the relationship between position, velocity, and acceleration is highlighted. Ultimately, the correct interpretation of the diagrams is crucial for accurately identifying true and false statements about the ball's motion.
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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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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.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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