A force on an object of mass \( 100 \, \text{g} \) is \( (10\hat{i} + 5\hat{j}) \, \text{N} \). The position of that object at \( t = 2 \, \text{s} \) is \( (a\hat{i} + b\hat{j}) \, \text{m} \) after starting from rest. The value of \( \frac{a}{b} \) will be __________________.
