What is acceleration x speed?

Answer 1

In order to untangle this mess, let's assume that the acceleration is entirely a change in speed,

and that the direction is not changing.

Also, I have this feeling that you're referring to the acceleration and speed of the same moving object.

That makes it even messier.

I know what the bottom line is going to be, but before I go there, I'll go through some math:

Here are the equations for a body moving in a straight line.

X0 = the position it started at

X = its position after 't' seconds

V0 = the speed it started out with

V = its speed after 't' seconds

a = its acceleration

X = X0 + V0 t + 1/2 a t2

V = V0 + a t

A = a

You asked for the object's (acceleration) x (speed).

As you would expect, if the acceleration is not zero, then that product keeps changing,

because the speed keeps changing.

(Acceleration) x (speed) = a (V0 + a t) = aV0 + a2t.

If the object started out from rest ... no speed when the clock started ... then it's just [ a2t ] .

Technically, that's the answer ... (provided the acceleration is constant).

Physically, in the real world, it has no physical meaning. Don't believe me ? Consider the 'dimensions'

or units of this quantity: "square meters per cubic seconds". I'll take 3 of 'em. Wrap 'em up.