Physics

Average acceleration is just the total change in velocity divided by the time elapsed—think of it as how much the particle's speed direction or magnitude shifted overall. You don't need to find acceleration at every instant; instead, find the velocity at the endpoints ($t=1$ and $t=3$) using the derivative $v(t)=s'(t)$, then apply the definition $a_{\text{avg}}=\frac{\Delta v}{\Delta t}$.

Average acceleration is just the total change in velocity divided by the time elapsed—think of it as how much the particle's speed direction or magnitude shifted overall. You don't need to find acceleration at every instant; instead, find the velocity at the endpoints ($t=1$ and $t=3$) using the derivative $v(t)=s'(t)$, then apply the definition $a_{\text{avg}}=\frac{\Delta v}{\Delta t}$.