A butterfly moves with a speed of v = 12.0 m/s. the x-component of its velocity is 8.00 m/s. the angle between the direction of its motion and the y-axis must be ___________ degrees.

Respuesta :

The angle between the direction of its motion and the y-axis is 41.8⁰.

Angle between the direction of its motion and x axis

The angle between the direction of its motion and x axis is calculated from the formula of horizontal component of the velocity.

Vx = Vcosθ

where;

  • Vx is the horizontal component of the velocity
  • V is the velocity

8 = 12 x cosθ

cosθ = 8/12

cosθ = 0.6667

θ = arc cos(0.6667)

θ = 48.2⁰

angle between the direction of its motion and the y-axis

θ_y = 90 - 48.2⁰ = 41.8⁰

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

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