Final answer:
The plane's speed when experiencing a 50 mph tailwind is found by adding the tailwind's speed to the plane's airspeed; however, without the plane's original airspeed provided in the question, a proper calculation can't be made.
Step-by-step explanation:
To calculate the plane's speed with a 50 mph tailwind, we add the speed of the tailwind to the plane's airspeed. However, the problem provided does not specify the original airspeed of the plane. This is essential information usually given in a physics problem related to motion in two dimensions. For instance, if the plane's airspeed is 280 m/s due east and it experiences a 50 mph tailwind (which is equivalent to approximately 22.35 m/s), the plane's ground speed would simply be the sum of these two speeds, assuming the wind is directly behind the plane.
plane's ground speed = plane's airspeed + speed of tailwind
plane's ground speed = 280 m/s + 22.35 m/s
plane's ground speed = 302.35 m/s
This calculation assumes English to metric conversion where needed and illustratively adds the velocity vectors. The resulting speed indicates how fast the plane is moving over the ground. In reality, we must also consider the direction of tailwind and plane's direction for an accurate calculation!