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An airplane is flying on a bearing of 170° at 495 mph. Find the component form of the velocity of the airplane. Be sure to show and explain your work.

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onyebuchinnaji

The horizontal component of the plane's velocity is 85.96 mph and the vertical component of the plane's velocity is 487.5 mph.

Component form of the velocity of the airplane

The component form of the velocity of the airplane includes both horizontal and vertical velocity and it is calculated as follows;

Vx = V cosθ

Vy = V sinθ

where;

  • Vx is horizontal component of the velocity
  • Vy is vertical component of the velocity
  • θ is the angle of the velocity measured with respect to horizontal axis

θ = 170 - 90 = 80⁰

Horizontal component of the velocity

Vx = 495 mph (cos 80)

Vx = 85.96 mph

Vertical component of the velocity

Vy = 495 mph (sin 80)

Vy = 487.5 mph

Thus, the horizontal component of the plane's velocity is 85.96 mph and the vertical component of the plane's velocity is 487.5 mph.

Learn more about components of velocity here: https://brainly.com/question/24949996

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