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A plane flies at a speed of 200 m/s at an angle of 30 degrees to the horizontal.

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Question: A plane flies at a speed of 200 m/s at an angle of 30 degrees to the horizontal. What is the vertical component of its velocity?

Options:

  1. 100 m/s
  2. 150 m/s
  3. 200 m/s
  4. 250 m/s

Correct Answer: 100 m/s

Solution: 

Vertical component (v_y) = v * sin(θ) = 200 * (√3/2) ≈ 173.2 m/s.

A plane flies at a speed of 200 m/s at an angle of 30 degrees to the horizontal.

Practice Questions

Q1
A plane flies at a speed of 200 m/s at an angle of 30 degrees to the horizontal. What is the vertical component of its velocity?
  1. 100 m/s
  2. 150 m/s
  3. 200 m/s
  4. 250 m/s

Questions & Step-by-Step Solutions

A plane flies at a speed of 200 m/s at an angle of 30 degrees to the horizontal. What is the vertical component of its velocity?
  • Step 1: Identify the speed of the plane, which is 200 m/s.
  • Step 2: Identify the angle of the plane's flight, 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: v_y = v * sin(θ).
  • Step 5: Substitute the values into the formula: v_y = 200 * sin(30 degrees).
  • Step 6: Calculate sin(30 degrees), which is 0.5.
  • Step 7: Multiply: v_y = 200 * 0.5 = 100 m/s.
  • Step 8: Therefore, the vertical component of the velocity is 100 m/s.
  • Vector Decomposition – The process of breaking down a vector into its horizontal and vertical components using trigonometric functions.
  • Trigonometric Functions – Understanding how to apply sine and cosine functions to find components of vectors based on angles.
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