A bird starts from the ground, flies at a certain speed for 5 seconds, and lands on a tree branch. The vector representing its position is (4,10). It continues to fly in the same direction and at the same speed for 5 or more seconds, and lands on another branch. What vector represents its new position?

Answer: The vector represents its new position is (10,25)

Step-by-step explanation:

A bird starts from the ground, that is (0,0) position and flies at a certain speed for 5 seconds, and lands on a tree branch. The vector representing its position is (4,10).

The rate of increase = slope will be

Slope = 10/4 = 2.5

It continues to fly in the same direction and at the same speed for 5 or more seconds

Since it is travelling at same speed and time, Slope will be the same

Slope = (y - 10) / (x - 4) = 5/2

The new x position = 4 * 5/2 = 10

The new y position = 10 * 5/2 = 25

The vector represents its new position is (10, 25)