Can someone explain in physics terms how velocity and power are related to acceleration?

Question

allen27 · Answer

https://answers.yahoo.com/question/index?qid=20091123065132AAKpG65

allen27 · Answer

wheres my medal

kikuo · Answer

@allen27

That doesn't exactly explain this.

Lets say the the mass is at rest on a frictionless platform. 
The resultant force acting on the mass is zero and the initial velocity, u, of the body is also zero. 
Now a constant force, F, is applied to the mass and its start to move with a velocity. 
After the mass has moved a distance, s, away from its initial position, its velocity will be v m/s. 
Use the equation of motion to calculate the acceleration of the mass. 
v^2 = u^2 + 2as 
a = (v^2 - u^2)/2s 

Then , power = m x a x v 

2nd method) 

P = m x g x v------(1) 
Replace a = f/m in (1) 
P = Fv

welshfella · Answer

power  = work / time
work = force * distance

so power = force * distance / time =  force * velocity

P = F.v

agent0smith · Answer

More power means more acceleration - since the same amount of work (change in KE) can be done in less time