Question

Which characteristic does an object with a constant acceleration always have?

Answer 1

Answer: Changing velocity

Explanation:

By definition acceleration is the variation of velocity $V$in time. If we do an inverse operation, we will find velocity is the integral of acceleration $a$:

$V= \int\limits^t_0 {a} \, dt$ (1)

Solving and taking into account acceleration is constant:

$V= at + V_{o}$ (2)

Being $V_{o}$ the initial velocity which was the resultant constant from the integration.

From (2) we can see the equation is similar to the equation of the line $y=mx+b$, where $a$ in this case is the slope. This means there is a linear variation in velocity when acceleration is constant.