a bird is flying at 36.0 m/s in the y - direction. the wind is blowing at 15.5 m/s in the x - direction…

a bird is flying at 36.0 m/s in the y - direction. the wind is blowing at 15.5 m/s in the x - direction. what is the magnitude of the velocity of the bird? v = ? m/s

a bird is flying at 36.0 m/s in the y - direction. the wind is blowing at 15.5 m/s in the x - direction. what is the magnitude of the velocity of the bird? v = ? m/s

Answer

Explanation:

Step1: Identify the components

The velocity component in the y - direction $v_y = 36.0$ m/s and in the x - direction $v_x=15.5$ m/s.

Step2: Apply the magnitude formula

The magnitude of the velocity vector $v$ is given by $v=\sqrt{v_x^{2}+v_y^{2}}$. Substitute $v_x = 15.5$ and $v_y = 36.0$ into the formula: $v=\sqrt{(15.5)^{2}+(36.0)^{2}}$. First, calculate $(15.5)^{2}=15.5\times15.5 = 240.25$ and $(36.0)^{2}=36.0\times36.0 = 1296$. Then $v=\sqrt{240.25 + 1296}=\sqrt{1536.25}$. $v\approx39.2$ m/s.

Answer:

$39.2$