A fuel cell, specifically using hydrogen and oxygen, has found applications in spaceships due to its capability to provide electricity in a lightweight, efficient form. It does not use aluminum as a catalyst but rather commonly uses platinum or other noble metals. Fuel cells operate in an eco-friendly manner, emitting only water as a by-product. Furthermore, they can be categorized as galvanic cells since they convert chemical energy directly into electrical energy.
The motion of an airplane is represented by the velocity-time graph as shown below. The distance covered by the airplane in the first 30.5 seconds is km.
If the domain of the function \( f(x) = \frac{1}{\sqrt{3x + 10 - x^2}} + \frac{1}{\sqrt{x + |x|}} \) is \( (a, b) \), then \( (1 + a)^2 + b^2 \) is equal to: