Chapter 9 - Linear Momentum and Collisions - Problems and Conceptual Exercises - Page 290: 15

$7.0ms$

We know that $F_{avg}=\frac{\Delta p}{\Delta t}$ This can be rearranged as: $\Delta t=\frac{\Delta p}{F_{avg}}$ $\implies \Delta t=\frac{m(v_f-v_i)}{F_{avg}}$ We plug in the known values to obtain: $\Delta t=\frac{(0.50)(3.2-0)}{230}$ $\Delta t=7.0ms$