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

1. May 26, 2013

### needingtoknow

1. The problem statement, all variables and given/known data

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 travelled how many times the distance of Object B?

3. 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: May 26, 2013
2. May 26, 2013

### voko

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

3. May 26, 2013

### needingtoknow

But isnt a = v/t?

4. May 26, 2013

### voko

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

5. May 26, 2013

### needingtoknow

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

6. May 26, 2013

### haruspex

Yes, but that only says it will be travelling twice as fast after time t. What equation do you have relating distance, acceleration, time, and initial velocity (that's valid for constant acceleration)?

7. May 26, 2013

### voko

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

8. May 27, 2013

### 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.