Describe a rocket propelled in 30 degrees north of east with a velocity of 5m/s
To describe a rocket propelled at an angle of 30 degrees north of east with a velocity of 5 m/s, we can break down the given information into its components.
1. Velocity: The given velocity is 5 m/s. Velocity is a vector quantity that includes both magnitude (speed) and direction. In this case, the magnitude of the velocity is 5 m/s.
2. Angle: The angle of 30 degrees north of east indicates the direction of the rocket's motion. To describe this direction, we need to use a coordinate system. Let's assume the east direction is the x-axis and the north direction is the y-axis.
Using trigonometry, we can break down the velocity into its x and y components:
- The x-component is given by cos(30) * 5 m/s, which can be simplified to 5 * sqrt(3)/2 ≈ 4.33 m/s.
- The y-component is given by sin(30) * 5 m/s, which can be simplified to 5/2 ≈ 2.5 m/s.
So, the rocket's velocity can be described as approximately (4.33 m/s, 2.5 m/s) or (4.33 m/s eastward, 2.5 m/s northward).