Question

Austin kicks a soccer ball with an initial velocity of 18.0 m/s at an angle of 35.0°.

What are the horizontal and vertical components of the initial velocity? Round your answers to the nearest tenth

Answer 1

1. The horizontal component of the velocity is 14.74 m/s

2. The vertical component of the velocity is 10.32 m/s

Data obtained from the question

The following data were obtained from the question:

• Initial velocity (u) = 18 m/s
• Angle of projection (θ) = 35 °
• Horizontal component of velocity =?
• Vertical component of velocity =?

1. How to determine the horizontal component of velocity

• Initial velocity (u) = 18 m/s
• Angle of projection (θ) = 35 °
• Horizontal component of velocity =?

Horizontal component of velocity = u × Cosθ

Horizontal component of velocity = 18 × Cos35

Horizontal component of velocity = 14.74 m/s

2. How to determine the vertical component of velocity

• Initial velocity (u) = 18 m/s
• Angle of projection (θ) = 35 °
• Vertical component of velocity =?

Vertical component of velocity = u × Sineθ

Vertical component of velocity = 18 × Sine35

Vertical component of velocity = 10.32 m/s

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