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To determine the vertical component of the velocity of the aircraft during takeoff, we need to use trigonometry and break down the given velocity into its horizontal and vertical components.


  • Takeoff angle: 30 degrees
  • Takeoff velocity: 500 km/hr

To find the vertical component of the velocity, we can use the following trigonometric relationship:

Vertical component = Velocity * sin(angle)

First, let's convert the velocity from km/hr to m/s to ensure consistent units:

500 km/hr * (1000 m/1 km) * (1 hr/3600 s) ≈ 138.89 m/s

Now we can calculate the vertical component:

Vertical component = 138.89 m/s * sin(30 degrees)

Using a calculator:

Vertical component ≈ 138.89 m/s * 0.5 ≈ 69.44 m/s

Therefore, the vertical component of the aircraft's velocity during takeoff will be approximately 69.44 m/s.

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