A jetliner is moving at a speed of 245m/s. The vertical component of the plane's velocity is 40.6 m/s. Determine the magnitude of the horizontal component of the plane velocity.

Respuesta :

Answer:

Horizontal component of velocity = 241.61 m/s

Explanation:

Given that,

Velocity of a jetliner is 245 m/s

The vertical component of the plane's velocity is 40.6 m/s, [tex]v_y=40.6\ m/s[/tex]

We need to find the magnitude of the horizontal component of the plane velocity.

The resultant velocity is given by :

[tex]v=\sqrt{v_x^2+v_y^2}[/tex]

Where, [tex]v_x[/tex] is the horizontal component of the plane velocity

[tex]v^2=v_x^2+v_y^2\\\\v_x^2=v^2-v_y^2\\\\v_x^2=(245)^2-(40.6)^2\\\\v_x=\sqrt{58376.64}\\\\v_x=241.61\ m/s[/tex]

So, the magnitude of the horizontal component of the plane velocity is 241.61 m/s.

The magnitude of the horizontal component of the velocity is 241.6 m/s.

The given parameters:

  • Speed of the jetliner, v = 245 m/s
  • Vertical component of the speed, Vy = 40.6 m/s

The magnitude of the horizontal component of the velocity is calculated as follows;

[tex]V^2 = V_y^2 + V_x^2\\\\V_x^2 = V^2 - V_y^2\\\\V_x = \sqrt{V^2 - V_y^2} \\\\V_x = \sqrt{245^2 - 40.6^2}\\\\V_x = 241.6 \ m/s[/tex]

Thus, the magnitude of the horizontal component of the velocity is 241.6 m/s.

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