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.
Given:
- 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.