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A player hits a ball at an angle of 30 degrees with the horizontal. If the initi

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Question: A player hits a ball at an angle of 30 degrees with the horizontal. If the initial speed is 20 m/s, what is the vertical component of the velocity? (2022)

Options:

  1. 10 m/s
  2. 15 m/s
  3. 20 m/s
  4. 5 m/s

Correct Answer: 10 m/s

Exam Year: 2022

Solution: 

Vertical component = Initial speed × sin(angle) = 20 m/s × sin(30°) = 20 m/s × 0.5 = 10 m/s.

A player hits a ball at an angle of 30 degrees with the horizontal. If the initi

Practice Questions

Q1
A player hits a ball at an angle of 30 degrees with the horizontal. If the initial speed is 20 m/s, what is the vertical component of the velocity? (2022)
  1. 10 m/s
  2. 15 m/s
  3. 20 m/s
  4. 5 m/s

Questions & Step-by-Step Solutions

A player hits a ball at an angle of 30 degrees with the horizontal. If the initial speed is 20 m/s, what is the vertical component of the velocity? (2022)
  • Step 1: Identify the initial speed of the ball, which is given as 20 m/s.
  • Step 2: Identify the angle at which the ball is hit, which is 30 degrees.
  • Step 3: Understand that we need to find the vertical component of the velocity.
  • Step 4: Use the formula for the vertical component: Vertical component = Initial speed × sin(angle).
  • Step 5: Substitute the values into the formula: Vertical component = 20 m/s × sin(30°).
  • Step 6: Calculate sin(30°), which is 0.5.
  • Step 7: Multiply the initial speed by the sine of the angle: 20 m/s × 0.5 = 10 m/s.
  • Step 8: Conclude that the vertical component of the velocity is 10 m/s.
  • Projectile Motion – Understanding how to resolve velocity into horizontal and vertical components using trigonometric functions.
  • Trigonometric Functions – Applying sine to find the vertical component of velocity based on the angle of projection.
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