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

[needingtoknow]

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?

 

[voko]

Acceleration is not proportional to velocity. You should review the definitions.

 

[needingtoknow]

But isn't a = v/t?

 

[voko]

Why wouldn't you just have a look at the definition of acceleration?

 

[needingtoknow]

Well the definition is the rate of change of velocity. How fast velocity changes.

 

[haruspex]

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)?

 

[voko]

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?

 

[nil1996]

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.