(Solved): (Part a) A peregrine falcon of mass \( m_{p} \) (around \( 1 \backslash \mathrm{kg} \), but don't ...

(Part a) A peregrine falcon of mass \( m_{p} \) (around \( 1 \backslash \mathrm{kg} \), but don't plug in numbers) spots a European starling of mass \( m_{s} \) (about \( 0.1 \backslash \mathrm{kg} \) ) flying horizontally at a speed \( v_{s} \). The falcon dives and strikes the starling at a speed \( v_{p} \). The falcon's velocity is an angle \( \theta \) from the vertical, with its horizontal component in the same direction as the starling's flight. What is the velocity of the falcon and starling immediately after the falcon grabs its prey? (Part b) After snatching its prey at a height \( h \), the falcon spreads its wings so that it decelerates at a constant rate, continuing in a straight line until it reaches the ground. Its acceleration is just right so that its velocity is zero at the exact moment it lands. What is the force exerted on the falcon and starling by the air during this descent?