Final answer:
The magnitude of the velocity of the supply when it lands is 65.0 m/s.
Step-by-step explanation:
To determine the magnitude of the velocity of the supply when it lands, we can use the concept of relative velocity.
Since the plane is traveling at a speed of 65.0 m/s and the supplies are dropped 260 m below, the initial velocity of the supplies relative to the plane is 0 m/s (since they are initially at rest relative to the plane). The final velocity of the supplies relative to the plane is the same as the speed of the plane, which is 65.0 m/s. Since the supplies are dropping, their velocity is negative, so the magnitude of the velocity when it lands is 65.0 m/s.