Question

What is the average acceleration of the particle within the time interval 1 second to 3 seconds?

Answer 1

By definition, the average acceleration is

$$a = \dfrac{\Delta v}{\Delta t}$$

where $\Delta v$ is the change of the particle's velocity during the time intarval $\Delta t$. According to the ploblem statement, time interval is $\Delta t = 3s-1s = 2s$. Thus, the acceleration is:

$$a = \dfrac{\Delta v}{2}\space (m/s^2)$$

for any velocity change $\Delta v\space (m/s)$.

Answer. $a = \dfrac{\Delta v}{2}\space (m/s^2)$ for any velocity change $\Delta v\space (m/s)$