Final answer:
The bird's new position will be (4,10), which means it lands on another branch at a position 4 units to the right and 10 units above the starting point.
Step-by-step explanation:
To determine the bird's new position, we need to add its displacement vectors. The first displacement vector is (4,10), representing its initial position. The second displacement vector is unknown but is the same magnitude and direction as the first displacement vector since the bird is flying at the same speed and in the same direction. Therefore, the bird's new position will also be (4,10), which means it lands on another branch at a position 4 units to the right and 10 units above the starting point.