$${\frac{\Delta y_a}{y_a} = \sqrt{\left(\frac{\Delta v_0}{v_0}\right)^2 + \left(\frac{1}{2}\frac{\Delta h}{h}\right)^2 + \left(\frac{1}{2}\frac{\Delta h_t}{h_t}\right)^2 + \left(\frac{1}{2}\frac{\Delta g}{g}\right)^2}}$$