Answer
$a=5m/s^{2}$
Work Step by Step
We know the following equation:
$v^{2}_{f}=v^{2}_{0}+2ax$
$v^{2}_{f}-v^{2}_{0}=2ax$
We plug in the known values to obtain:
$a=\frac{v^{2}_{f}-v^{2}_{0}}{2x}=\frac{(50m/s)^{2}-(30m/s)^{2}}{2(160m)}=5m/s^{2}$