Two objects accelerate from rest with the acceleration of Object A twi

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Homework Help Overview

The problem involves two objects accelerating from rest, with the acceleration of Object A being twice that of Object B. The question seeks to determine the ratio of the distances traveled by the two objects after a certain time.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between acceleration, velocity, and displacement, questioning the original poster's assumption that displacement would also be twice as much due to the acceleration ratio. There are inquiries about the definitions and mathematical expressions related to acceleration and distance.

Discussion Status

The discussion is active, with participants providing clarifications on the definitions of acceleration and velocity. Some guidance has been offered regarding the equations that relate distance, acceleration, and time, though no consensus has been reached on the specific approach to solving the problem.

Contextual Notes

Participants are navigating through definitions and relationships in kinematics, with some confusion regarding the implications of acceleration on displacement. There is an emphasis on understanding the mathematical expressions involved.

needingtoknow
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Homework Statement



Two objects accelerate from rest with the acceleration of Object A twice that of Object B. After accelerating for a given time, Object A will have traveled how many times the distance of Object B?

The Attempt at a Solution



How can I find out mathematically? I know that acceleration is directly proportional to velocity so I was wondering if Object A's acceleration is twice that of Object B then shouldn't the displacement also be twice as much?
 
Last edited:
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Acceleration is not proportional to velocity. You should review the definitions.
 
But isn't a = v/t?
 
Why wouldn't you just have a look at the definition of acceleration?
 
Well the definition is the rate of change of velocity. How fast velocity changes.
 
needingtoknow said:
But isn't a = v/t?

Yes, but that only says it will be traveling twice as fast after time t. What equation do you have relating distance, acceleration, time, and initial velocity (that's valid for constant acceleration)?
 
needingtoknow said:
Well the definition is the rate of change of velocity. How fast velocity changes.

Do you know how that (rate of change of something) is expressed mathematically?
 
velocity

see you first try to calculate the distance traveled by them.Then simply take the ratio of the distance traveled to get how much times one has traveled than the other.
 

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