Step 1 :Calculate the horizontal and vertical components of the initial velocity: \(v_x = v * \cos(\theta)\) and \(v_y = v * \sin(\theta)\) where \(v = 27.78 \mathrm{~m/s}\) and \(\theta = 40^\circ\)
Step 2 :Use the vertical motion equation to find the time in the air: \(0 = v_y * t - \frac{1}{2} * g * t^2\) where \(v_y = 17.86 \mathrm{~m/s}\) and \(g = 9.81 \mathrm{~m/s^2}\)
Step 3 :\boxed{t \approx 6.25 \mathrm{~seconds}}