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 vertical component of the velocity? (2020)
  1. 20 m/s
  2. 30 m/s
  3. 35 m/s
  4. 25 m/s

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 vertical 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 sine function to find the vertical component of the velocity. The formula is: vertical component = initial speed × sin(angle).
  • Step 4: Calculate sin(30 degrees). The value of sin(30 degrees) is 0.5.
  • Step 5: Multiply the initial speed (40 m/s) by sin(30 degrees) (0.5): 40 m/s × 0.5.
  • Step 6: Perform the multiplication: 40 m/s × 0.5 = 20 m/s.
  • Step 7: Conclude that the vertical component of the velocity is 20 m/s.
  • Projectile Motion – Understanding how to resolve the initial velocity of a projectile into its vertical and horizontal components using trigonometric functions.
  • Trigonometric Functions – Applying the sine function to find the vertical component of velocity based on the angle of projection.
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