Maximum Acceleration

http://physics.stackexchange.com/questions/3334/is-there-a-maximum-possible-acceleration

Well, I do not think we have any such limit given we find a source that can provide an arbitrarily large force on the particle to be accelerated.

I haven't chimed in yet cause I wanted to see if/how people came up with an answer. If you neglect gravity then there is no maximum acceleration. If you include gravity there is. The answers in the stack exchange post referenced below are correct but not as illuminating as one might hope. I'll put it as a challenge to all of you...can you come up with a 'brilliant' argument that relies on Newtonian gravity, the fact that nothing can go faster than c, and the Heisenberg uncertainty principle? All three are needed for a maximum acceleration argument. As a starting point, imagine you are on a rocket ship in space at rest. What do you need to do to make yourself accelerate?

Hi, I am not a physics student but I think that there is limit to acceleration a body can have.

Let us assume that initially body was at rest so we can conclude that its initial velocity was zero.

Let us again assume that after some time it obtained maximum kinetic energy. Thus the velocity of body corresponding to maximum energy can be consider as maximum velocity, say V, of that body Thus at this point we can consider that its total energy of the body is its kinetic energy. Thus we have following equation.

$E=1/2 m V^2…………………………………. 1$

Here E = kinetic energy of the body = total energy of body at this instant.

m = mass of the body

and V = velocity of the body = maximum velocity of body.

$E=m c^2……………………………….......2$

By comparing both equation 1 and 2, We have,

$1/2 m V^2=mc^2$

$V^2=2 c^2$

$V= √2 c$

Thus we have the maximum velocity of the body defined as above. (I think if any body travels with this velocity then its complete mass will get changed into energy completely. Thus body will disappear as now we can see it as energy and not as mass)

Acceleration, in simple terms, is defined as the change in the velocity *of a body over an interval of *time. Thus, we have $A=(V-0)/t$

Replacing the V by √2 c = 4.24 (taking √2 = 1.4 and c= velocity of light= 3 ms-1 )

*We finally have *

$A= 4.24/t$

*Thus this can be called as the maximum possible acceleration of a body *(without converting into energy from mass completely), provided it has such mechanism which can produce such acceleration.

I think Acceleration of a body with Escape velocity can Have maximum acceleration

the basic thing is light has both properties particle and wave. that's why light and other E.M. waves travel with such high speeds. matter waves such as electron waves, alpha rays have a comparatively lower speed and mechanical waves like sound waves have the lowest speed.

the acceleration depends on the observer. imagine two stations where 2 observers are stationed.a particle passes them with a velocity v.it passes the first observer at time t(1) and the second at t(2). therefore the time interval is dt=t(2) - t(1) rate of change of velocity in time interval dt is given by dv. then acceleration is given by a=dv/dt.......[1] if the time interval is made close to zero the acceleration becomes infinite. I think the above explanation is correct and gives the maximum acceleration - infinite.

you Just compare old mechanics with modern physics till now classical physics cant solve this problem ( speed of light ) even quantum mechanics

http://www.astronomyforum.net/blogs/astroval/67-there-maximum-possible-acceleration.html

should particle accelerate if it has mass zero...

Mathematically it is possible in relation with Power=ForceVelocity (for Speed of light it's equal to c) Acceleration=(Power/cm) That will be The maximum acceleration i can think of,not considering the relativistic mass.

Please can anyone answer to my question

I'm a novice with Physics but please point out my wrongs :) . There is something I think about acceleration and matter. Biologically, if something accelerates extremely, it's components might fall apart: the cells might break up due to the miniature individual inertia of each cell. Technically, I think it is possible that there is no limit to acceleration, it can be so high that our eyes cannot see the object, so high that is can pass through a galaxy in microseconds, so fast that it will travel great distances without time passing by, a.k.a Teleporting :).

"There is a limit on speed, not on acceleration. Any force can not increase speed of a particle which is moving with speed of light."

it can be explained as follows: acceleration is given by: a= (v-u)/t now u and v can reach maximum up to velocity c which gives that acceleration ranges between -c to c m/s^2 . after putting value of c = v = u we get a=0 . after putting value of c = v and u =0 we get a= c . after putting value of c = u and v=0 we get a= -c . and we assume that t= 0 is not possible

There is a mistake that speed of light is not maximum as there are even more faster rays such as Cosmic ray with accurately 3.0543*10^8 which is larger compared to light (299,792,458 m/s)the velocity can be calculated by using planck s formula and velocity of EM radiation