## What is the formula for relative motion?

Table of Contents

Key Equations

Position vector | →r(t)=x(t)^i+y(t)^j+z(t)^k |
---|---|

Relative velocity equation connecting two reference frames | →vPS=→vPS′+→vS′S |

Relative velocity equation connecting more than two reference frames | →vPC=→vPA+→vAB+→vBC |

Relative acceleration equation | →aPS=→aPS′+→aS′S |

## What is relative motion dynamics?

Relative motion dynamic models are fundamental for the study of space operations involving coordination of two or more spacecraft, such as formation flying, rendezvous and in-orbit assembly of orbital structures.

**What is the formula of relative velocity?**

Mathematically, we nay say that the relative velocity will be the vector difference between the velocities of two objects. The relative velocity of A with respect to B= velocity of the body A – velocity of the body B.

**What is relative motion example?**

For example, a person sitting in an airplane is at zero velocity relative to the airplane, but is moving at the same velocity as the airplane with respect to the ground. Relative motion is a concept, and its calculation occurs with relative velocity, relative speed, or relative acceleration.

### What are some examples of relative motion?

Relative Motion refers to the motion or speed of any object in respect to a particular point. For example, a ball thrown upward while in a moving object such as a bus, would be traveling the same speed with respect to the bus and would fall again in relation to that speed.

### What are the applications of relative motion?

The laws of physics which apply when you are at rest on the earth also apply when you are in any reference frame which is moving at a constant velocity with respect to the earth. For example, you can toss and catch a ball in a moving bus if the motion is in a straight line at constant speed.

**What is the difference between motion and relative motion?**

Motion, as you said, is change in position with respect to time but the definition of relative motion you gave is not really correct. Relative motion is the change in position with respect to a point in space with time. In fact, relative motion and motion are exactly one and the same.

**What are the application of relative motion?**

“Relative Motion” is a rather open term. For example 2 ships meet in the ocean and move apart each at 30 kph. From the point of origin (Where the ships met in the ocean…) both ships are moving at 30 kph in opposite directions. The perspective is different from either ship.

#### What is relative motion definition?

Relative motion is the mathematical comparison of two or more objects’ motions. Let’s work an example involving velocities. An aircraft carrier is moving at 4 m/s due east relative to the water. An aircraft moves on the deck at 1 m/s at 30° east of north relative to the water. How fast is the aircraft moving relative to the aircraft carrier?

#### What is the equation for relative motion?

Relative Motion Problems. 1) Two bodies A and B are travelling with the same speed 100 km/hr in opposite directions. Find the relative velocity of body A with respect to body B and relative velocity of body B with respect to body A. The relative velocity of A w.r.t. B is V AB = V A – V B. = 100- (-100)

**What is meant by the statement “motion is relative”?**

The statement that motion is relative is an important concept in physics. The meaning behind this statement is that the motion of an object is relative to either the frame of reference of the observer, or to another distinct frame of reference.