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14 December, 03:45

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?

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  1. 14 December, 06:46
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    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)
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