What is the rate of acceleration?

Answer 1

the rate of acceleration is very broad as to what you mean, if you mean acceleration as a rate, see my paragraph 2, if you see acceleration change at a rate, see paragraph 3.

The rate of acceleration is constant on usually all intervals. Acceleration is defined by the change in speed (velocity) (also note speed is change in distance over time). Acceleration is best described by a car or falling object. If you took a falling object and graphed its distance vs time, you would get a parabola. if you took the derivative of the equation of that graph, you would get the velocity vs time graph. If you then took a third derivative then you would get to the acceleration vs time graph. the acceleration due to earths gravity is 9.8 meters per second squared, or 32 feet per second squared. In that number the average rate of change is that for every second, the velocity increases by 9.8 meters per second.

If you mean that acceleration is changing at a rate, then you actual took a third derivative. but for the acceleration to change, you must have an increasing force or decreasing weight (because newtons second law of motion states that Force equals the mass of an object times its acceleration). if you took this approach and graphed it on the distance vs time, you would get a third degree equation (x to the third power), velocity vs time would be parabolic, acceleration vs time would be linear, and the change of acceleration over time to be a constant function.