A lunar probe is moving \( 1,670 \mathrm{~m} / \mathrm{s} \) at \( v_{f} \quad \) a \( 73.0^{\circ} \) angle. It needs to land on the moon \( 3.71 \cdot 10^{8} \mathrm{~m} \) away in a \( 46.0^{\circ} \) direction in \( 8.64 \cdot 10^{4} \mathrm{~s} \). What is the magnitude of the acceleration that the engine must produce?
