By definition, speed is the integral of acceleration with respect to time.
We have then:
[tex] v = \int\limits^t_0 {a} \, dt [/tex]
As the acceleration is constant, then integrating we have:
[tex] v = a*t + vo [/tex]
Where,
vo: constant of integration that corresponds to the initial velocity
We observe then that the speed varies linearly when the acceleration is constant
.
Therefore, for constant acceleration, the velocity is changing.
Answer:
an object with a constant acceleration always have:
A. changing velocity
