Question

A better expression for a rocket's position measured from the center of the Earth is given by .........................

Answer 1

Step-by-step explanation:

better expression for a rocket's position measured from the center of the Earth is given by the term "altitude." Altitude refers to the vertical distance between the rocket and the Earth's surface, measured from sea level or any other reference point. It gives a more accurate indication of how high the rocket is above the Earth rather than using the center of the Earth as a reference point. To understand this concept, let's consider an example. Imagine a rocket that is flying at an altitude of 100 kilometers. This means that the rocket is 100 kilometers above the Earth's surface, regardless of its distance from the center of the Earth. Altitude allows us to measure how high the rocket is in relation to the Earth, which is important for navigation and understanding the rocket's position. Using altitude as a measure also helps us differentiate between different parts of the rocket's flight. For instance, when the rocket takes off, it starts at sea level altitude, and as it ascends, the altitude increases. Similarly, during descent, the altitude decreases until the rocket lands back on the Earth's surface. In conclusion, using altitude as a measure provides a more meaningful and practical representation of a rocket's position above the Earth's surface, compared to measuring

Answer 2

A rocket's position from Earth's center can be given as a displacement vector in a coordinate system with Earth's center as the origin. This simplification assumes Earth's radius to be 6370 km, and the rocket's position is further defined by its altitude above Earth's surface and the forces like gravity acting on it.

Step-by-step explanation:

A better expression for a rocket's position measured from the center of the Earth is given by the vector that represents the rocket's displacement from Earth's center, taken as the origin of a coordinate system. We typically assume a two-dimensional plane for the orbit with Earth's radius as 6370 km, which simplifies the rocket's position to a vector with a length equal to the Earth's radius plus the altitude of the rocket above the surface.

To precisely describe the motion of an object like a rocket, it is essential to specify its position relative to a convenient reference frame. For a rocket, the reference frame is usually Earth, and positions are given in relation to fixed points on or around the Earth.

When considering the rocket's position from the planet's center, one can describe it using a coordinate system where the y-axis points north and the x-axis points east, with vectors indicating displacement from the origin.

The rocket's position is also influenced by the forces acting on it, such as gravity. During its ascent, the rocket must overcome Earth's gravitational pull. Understanding the effects of gravity and thrust on the rocket's position and velocity is crucial for accurately describing its motion.