A player hits a baseball at an angle of 30 degrees with an initial speed of 40 m

Practice Questions

Q1
A player hits a baseball at an angle of 30 degrees with an initial speed of 40 m/s. What is the horizontal component of the velocity? (2020)
  1. 20
  2. 34.64
  3. 30
  4. 35

Questions & Step-by-Step Solutions

A player hits a baseball at an angle of 30 degrees with an initial speed of 40 m/s. What is the horizontal component of the velocity? (2020)
  • Step 1: Identify the initial speed of the baseball, which is 40 m/s.
  • Step 2: Identify the angle at which the baseball is hit, which is 30 degrees.
  • Step 3: Use the formula to find the horizontal component of the velocity: Horizontal component = initial speed × cos(angle).
  • Step 4: Calculate cos(30 degrees). The value of cos(30 degrees) is √3/2.
  • Step 5: Substitute the values into the formula: Horizontal component = 40 m/s × (√3/2).
  • Step 6: Calculate the result: 40 × √3/2 ≈ 34.64 m/s.
  • Projectile Motion – Understanding how to resolve velocity into horizontal and vertical components using trigonometric functions.
  • Trigonometry – Applying cosine to find the horizontal component of velocity based on the launch angle.
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