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What are the initial x and y component velocities o A baseball that hit at 5(m)/(s) at 40 degrees above the horizon, up and to the right?

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Final answer:

The initial x component of the baseball's velocity is approximately 3.83 m/s, and the initial y component of the velocity is approximately 3.21 m/s, calculated using trigonometry with the baseball's initial speed and angle of projection.

Step-by-step explanation:

The initial x and y component velocities of a baseball hit at 5 m/s at 40 degrees above the horizon can be calculated using basic trigonometric functions. To find the horizontal component (Vx), we use the cosine function: Vx = V * cos(θ), and to find the vertical component (Vy), we use the sine function: Vy = V * sin(θ), where V is the initial velocity and θ is the angle of projection. In this case, the initial velocity V is 5 m/s, and the angle θ is 40 degrees.

  • Vx = 5 m/s * cos(40°) ≈ 3.83 m/s
  • Vy = 5 m/s * sin(40°) ≈ 3.21 m/s

Thus, the baseball's initial horizontal component of velocity is approximately 3.83 m/s, and the initial vertical component of velocity is approximately 3.21 m/s.

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